House Republicans say their counterparts in the Senate need to do more to help President Trump Donald John TrumpFederal prosecutor speaks out, says Barr 'has brought shame' on Justice Dept. Former Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick MORE on impeachment.

The House GOP lawmakers note their power is limited on impeachment hearings, but Senate Republicans have the authority to call witnesses and issue subpoenas. Republicans in the lower chamber have expressed frustration that little attention has been paid to allegations that Ukraine meddled in the 2016 presidential election and that former Vice President Joe Biden Joe BidenFormer Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick Bloomberg rolls out M ad buy to boost Biden in Florida MORE may have had a serious conflict of interest with regard to Ukraine because of his son Hunter Biden.

Major media outlets, with the exception of Fox News, have given little credibility to these allegations pushed by Trump, his personal lawyer Rudy Giuliani Rudy GiulianiThe Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting CIA found Putin 'probably directing' campaign against Biden: report Democrats fear Russia interference could spoil bid to retake Senate MORE and their allies.

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Rep. Lee Zeldin Lee ZeldinDCCC reserves new ad buys in competitive districts, adds new members to 'Red to Blue' program Overnight Defense: House panel probes Pompeo's convention speech | UN council rejects US demand to restore Iran sanctions | Court rules against Pentagon policy slowing expedited citizenship The Hill's 12:30 Report: Republicans conduct in-person convention roll call MORE (R-N.Y.), after a marathon day of impeachment hearings Tuesday, complained that allegations that Ukraine interfered in U.S. politics and that Biden was conflicted in his dealings with Ukraine have been considered “debunked” without a more thorough review.

“The Democrats and some in the media like to just say the Burisma/Zlochevsky issue is just totally debunked, even though Burisma is a corrupt Ukrainian company run by a corrupt Ukrainian oligarch hiring Hunter Biden — by Hunter’s Biden own admission — solely because [of] his last name, solely because he’s the vice president’s son,” Zeldin said, referring to Burisma Holdings, a Ukrainian gas company that paid Hunter Biden generously to serve on its board, and the company’s owner, Mykola Zlochevsky.

Several Republicans on the House Intelligence Committee said Senate Republicans should delve into this side of the impeachment story.

While Senate Republicans have discussed the possibility of a Ukraine investigation focused on Joe and Hunter Biden, there has been little follow-through.

“I think that’s appropriate,” said Rep. Jim Jordan James (Jim) Daniel JordanHouse panel pulls Powell into partisan battles over pandemic Sunday shows preview: Justice Ginsburg dies, sparking partisan battle over vacancy before election House passes resolution condemning anti-Asian discrimination relating to coronavirus MORE (R-Ohio) when asked if the Senate needs to do more to investigate Ukrainian corruption and links to the Bidens. “The Democrats keep saying it’s some conspiracy theory.”

“I think it would be helpful to get the bottom of all that,” added Jordan, a staunch defender of Trump.

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He pointed to a claim by a member of the Ukrainian parliament that many of the country’s political figures wanted Hillary Clinton Hillary Diane Rodham ClintonBloomberg rolls out M ad buy to boost Biden in Florida Hillicon Valley: Productivity, fatigue, cybersecurity emerge as top concerns amid pandemic | Facebook critics launch alternative oversight board | Google to temporarily bar election ads after polls close Trump pledges to make Juneteenth a federal holiday, designate KKK a terrorist group in pitch to Black voters MORE to win the 2016 election, a critical 2016 op-ed aimed at then-candidate Trump by Ukrainian Ambassador to the U.S. Valeriy Chaly, and criticism that Arsen Avakov, the former Ukrainian interior minister, leveled at Trump on Facebook.

“That’s serious,” Jordan said.

He expressed frustration that House Intelligence Committee Chairman Adam Schiff Adam Bennett SchiffSchiff to subpoena top DHS official, alleges whistleblower deposition is being stonewalled Schiff claims DHS is blocking whistleblower's access to records before testimony GOP lawmakers distance themselves from Trump comments on transfer of power MORE (D-Calif.) has refused to call Hunter Biden or request that the whistleblower testify.

Asked if the Senate should step in and call witnesses left out of the House impeachment hearing, Jordan said “heck, yeah” and “sure they should.”

GOP leaders specially appointed Jordan to the Intelligence Committee last month to spearhead Trump’s defense.

Rep. Brad Wenstrup Brad Robert WenstrupTrump, Biden battle over rush for COVID-19 vaccine The Hill's Campaign Report: Biden asks if public can trust vaccine from Trump ahead of Election Day | Oklahoma health officials raised red flags before Trump rally One doctor's thoughts on a hopeful future MORE (R-Ohio), another member of the House Intelligence Committee, said “there really could be” a bigger role played by Senate Republicans because Schiff has blocked House GOP requests for witnesses who could show that Trump had a legitimate interest in pressing Ukrainian President Volodymyr Zelensky to investigate corruption.

“We’re really stymied here,” he said.

Wenstrup said Senate Judiciary Committee Chairman Lindsey Graham Lindsey Olin GrahamLincoln Project mocks Lindsey Graham's fundraising lag with Sarah McLachlan-themed video The Hill's Morning Report - Sponsored by Facebook - Republicans lawmakers rebuke Trump on election Trump dumbfounds GOP with latest unforced error MORE (R-S.C.) and Senate Intelligence Committee Chairman Richard Burr Richard Mauze BurrHillicon Valley: Subpoenas for Facebook, Google and Twitter on the cards | Wray rebuffs mail-in voting conspiracies | Reps. raise mass surveillance concerns Bipartisan representatives demand answers on expired surveillance programs Rep. Mark Walker says he's been contacted about Liberty University vacancy MORE (R-N.C.) could bolster Republican counterarguments by launching their own investigations.

“I would love for them to do it because that’s the only way I think we’re going to get to the whole truth,” he said.

Graham has given different statements on the need to investigate Ukrainian corruption and the Bidens.

In September, he and Senate Homeland Security Committee Chairman Ron Johnson Ronald (Ron) Harold JohnsonThe Hill's Morning Report - Sponsored by Facebook - Trump previews SCOTUS nominee as 'totally brilliant' The Hill's 12:30 Report: Ginsburg lies in repose CHC leaders urge Senate to oppose Chad Wolf nomination MORE (R-Wis.) floated the idea of investigating Biden.

Graham, who is up for reelection next year, told conservative radio host Hugh Hewitt someone “should look at corruption” related to the Ukraine but said the probe should be conducted outside the Senate.

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He then told reporters in late September that he didn’t call on Hunter Biden to testify because he didn’t “want to turn the Senate into a circus.”

But after coming back to Washington after a two-week recess in October, Graham said he hadn’t yet made a decision on bringing Biden before the Judiciary Committee and suggested it would depend on what information Giuliani, who had been invited to testify, would provide.

Graham and other Senate Republicans have also come under pressure from Fox News host Sean Hannity Sean Patrick HannityFormer Florida attorney general calls Kyle Rittenhouse 'a little boy out there trying to protect his community' Sunday shows preview: Justice Ginsburg dies, sparking partisan battle over vacancy before election Cruz: Trump should nominate a Supreme Court justice next week MORE to do more.

“It’s right now time for Republicans to get tough. Senate Republicans need to pay attention,” Hannity said on his show last week. “Republicans have the power in the Senate, that means you have the power to subpoena people,” he said.

Hannity urged Senate Republicans to subpoena the whistleblower as well as Hunter Biden.

“Did he speak with his father about his Ukrainian business deals? Their statements we already know and it pointed out are in conflict with each other. We know The New York Times tipped off Joe Biden that his son was being investigated by the prosecutor in Ukraine,” he said.

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Hannity also challenged Graham in an interview Tuesday evening about the need to investigate Ukrainian corruption and the Bidens.

When Graham said “nobody’s looked,” Hannity shot back: “I’m looking and what I see is really bad.”

Earlier this month, Graham said he hoped Senate Foreign Relations Committee Chairman Jim Risch James (Jim) Elroy RischWhy the US should rely more on strategy, not sanctions Davis: The Hall of Shame for GOP senators who remain silent on Donald Trump Senators blast Turkey's move to convert Hagia Sophia back into a mosque MORE (R-Idaho) would take up a probe of Hunter Biden.

“We need to look at whether or not Hunter Biden corruptly engaged in lobbying. Did Joe Biden ask the prosecutor to be fired because he was investigating his son?” Graham said during an interview with Fox News’s Laura Ingraham Laura Anne IngrahamTrump assails Black Lives Matter in appeal to Black voters Ex-Pence aide: Trump spent 45 minutes of task force meeting 'going off on Tucker Carlson' instead of talking coronavirus Sean Hannity and Lou Dobbs to be deposed in Seth Rich lawsuit: report MORE.

Risch, however, has said he’s not interested in taking his committee down that path. On Wednesday he said the Senate Intelligence Committee would be more appropriate to investigate Ukraine issues related to the impeachment inquiry.

“In this instance the majority leader has assigned these issues to the Intelligence Committee to hear, so you want to talk to Sen. Burr,” he said.

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But Burr on Wednesday said he right now is focused on the intelligence community’s handling of the whistleblower’s complaint against Trump and is stuck on trying to get the whistleblower to testify before his committee.

Burr said the jurisdiction more appropriately belongs to Risch’s Foreign Relations panel.

“We’re looking at the whistleblower complaint, the process as to who knew about it, how many people they talked to, and what did they do. That’s the extent of what we’re looking at right now,” he said.

The Senate Republican chairmen who have gone the furthest are Johnson and Senate Finance Committee Chairman Chuck Grassley Charles (Chuck) Ernest GrassleyGOP lawmakers distance themselves from Trump comments on transfer of power The Hill's 12:30 Report: Ginsburg lies in repose Top GOP senators say Hunter Biden's work 'cast a shadow' over Obama Ukraine policy MORE (R-Iowa) who released a letter in September asking the Justice Department to investigate links between Ukrainian operatives and Hillary Clinton’s 2016 presidential campaign.

Johnson and Grassley last week asked Secretary of State Mike Pompeo Michael (Mike) Richard PompeoWatchdog confirms State Dept. canceled award for journalist who criticized Trump Trump's push for win with Sudan amps up pressure on Congress Putin nominated for Nobel Peace Prize MORE to release any State Department records that may exist related to Hunter Biden’s position as a Burisma Holdings board member. They also asked for information about what steps the Obama administration took to ensure policy decisions related to Ukraine and Burisma were not influenced by the financial interests of the senior officials’ family members.

House Republicans say these are steps in the right direction but they want to see more action.

Rep. Chris Stewart Christopher (Chris) Douglas StewartAtlanta Wendy's 911 call the night of Rayshard Brooks's death released Tyler Perry offers to pay for funeral of Rayshard Brooks Current, former NHL players form diversity coalition to fight intolerance in hockey MORE (R-Utah), a third Republican on the House Intelligence Committee, said the Senate should investigate the Ukraine- and Biden-related angles of the impeachment debate.

“I think they should and I think they will,” he said.

Stewart said if Democrats are going to argue it was improper to press Zelensky to investigate corruption, “we have to understand the basis of that.”

House Republicans last week submitted to Schiff a list of witnesses they wanted to call before the Intelligence Committee. It included Hunter Biden; Devon Archer, a former board member of Burisma Holdings; and Alexandra Chalupa, a former Democratic National Committee staffer who Republicans say worked with the Ukrainian Embassy in Washington to get “political dirt” on Trump’s campaign.

Senate Republicans have also come under pressure from other prominent conservatives to play a more active role in Trump’s defense.

Rep. Mark Meadows Mark Randall MeadowsWhite House chief of staff knocks FBI director over testimony on election fraud Anxious Democrats amp up pressure for vote on COVID-19 aid Pelosi hopeful COVID-19 relief talks resume 'soon' MORE (R-N.C.), a leading member of the conservative House Freedom Caucus, on Wednesday said Senate Republicans could use their subpoena power effectively.

“Certainly having a much more robust and fair process from the Senate standpoint on issuing subpoenas would be appropriate since we’re been denied a number of witnesses and due process over on the House side,” Meadows said.

Rep. Kenny Marchant Kenny Ewell MarchantHouse Ethics panel recommends ,000 fine for Rep. Schweikert's campaign finance violations Candace Valenzuela wins Texas runoff to replace retiring Rep. Marchant Ethics Committee reviewing Rep. Sanford Bishop's campaign spending MORE (R-Texas) said it could help Republicans politically if Senate chairmen got more aggressive in investigating Ukrainian corruption and possible ties to the Bidens.

Asked if a Senate investigation of Ukraine and the Bidens would be helpful, Marchant responded, “From a political standpoint, for my grassroot voter, yes.”

He said “it would be a legitimate thing to do” to use the Senate’s investigative powers to balance the story that House Democrats are laying out through their impeachment probe.