Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellDemocratic senator to party: 'A little message discipline wouldn't kill us' House to vote on resolution affirming peaceful transition of power Republican lawyers brush off Trump's election comments MORE (R-Ky.) is leaning into the fight against the House Democrats' impeachment inquiry into 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.

McConnell on Wednesday, for the second time in two days, lashed out at House Democrats from the Senate floor, painting them as too focused on the inquiry to work on legislation.

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"All their energy is going into this all-consuming impeachment parade that has been rolling on for three years now," McConnell said. "Speaker Pelosi's efforts to hold back her left-wing caucus have officially crumbled and the House has thrown itself into impeachment."

Democrats are at the start of inquiry focused on whether Trump held up Ukraine aid as part of an effort to pressure the government to open up an investigation into 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 and his son Hunter Biden.

Trump and his allies have lashed out at Democrats for not holding a formal vote to open the impeachment inquiry. House Speaker Nancy Pelosi Nancy PelosiDemocratic senator to party: 'A little message discipline wouldn't kill us' Overnight Health Care: New wave of COVID-19 cases builds in US | Florida to lift all coronavirus restrictions on restaurants, bars | Trump stirs questions with 0 drug coupon plan Overnight Defense: Appeals court revives House lawsuit against military funding for border wall | Dems push for limits on transferring military gear to police | Lawmakers ask for IG probe into Pentagon's use of COVID-19 funds MORE (D-Calif.) has said that a vote isn't required under the rules and doubled down on Tuesday reiterating that they would not hold a vote.

But McConnell knocked Democrats on Wednesday, suggesting they were ignoring "fairness and due process."

“The Democrats’ process already speaks for itself. For the first time ever, Speaker Pelosi has simply ordered the House to conduct an inquiry into impeaching a President without a full vote of the House. Just yesterday, the Speaker doubled down on this unprecedented and undemocratic process by once again refusing to hold a vote on an impeachment inquiry," he said.

Pelosi has tried to highlight the broader Democratic agenda despite the ongoing focus on impeachment, including holding a press conference yesterday on college affordability. Last month she repeatedly asked reporters if they had policy questions before turning to impeachment.

The Senate is currently scheduled to vote on a slate of Trump nominees this week, including confirming the next Air Force secretary. Republicans are also trying to build pressure on Democrats to take up Trump's trade deal with Canada and Mexico.

"The Democrats would rather fight with the White House than work with Republicans and the administration to pass legislation. ... Senate Republicans have been ready and waiting for weeks and months to do our part and actually make law on these subjects for the benefit of American families. We just need our counterparts across the Capitol to get serious about this," McConnell said.

Senate Minority Leader Charles Schumer Chuck SchumerPelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' 3 reasons why Biden is misreading the politics of court packing Cruz blocks amended resolution honoring Ginsburg over language about her dying wish MORE (D-N.Y.) defended Pelosi, saying the "task was thrust upon them."

"I know our colleagues in the House of Representatives did not run for office to begin an impeachment inquiry, but this task was thrust upon them by the president's alleged conduct and the demands of our Constitution," he said.