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 feuded with CNN's Jim Acosta James (Jim) AcostaToddlers' parents sue Trump over doctored 'racist baby' video Debate Commission snubs Latinos — again Red flags fly high, but Trump ignores them MORE on Twitter on Friday after Acosta accused Hannity of not addressing his criticisms of Acosta's new book face to face.

Acosta tweeted early Friday morning that he had offered to discuss Hannity's frequent criticism of CNN and his reporting on Fox News, which Hannity declined.

"Hearing Sean Hannity is taking some shots at me over my book. Two things Sean... #1 I offered to come on your show and talk about the book and you guys declined. Sad! #2 you’re in the book. It was that time you had a chance to say something to my face but didn’t. Enjoy!" the CNN reporter tweeted.

Hearing Sean Hannity is taking some shots at me over my book. Two things Sean... #1 I offered to come on your show and talk about the book and you guys declined. Sad! #2 you’re in the book. It was that time you had a chance to say something to my face but didn’t. Enjoy! pic.twitter.com/d4HElCdFYf — Jim Acosta (@Acosta) June 14, 2019

Hannity responded hours later, tweeting that it was "true Fake News Acosta’s reps have BEEN BEGGING to be on the #1 show on Cable News & 618 Of the top Talk Radio stations."

"Sorry, I wont subject my audience to conspiracy theory fake news," Hannity added, before directing Acosta to "Go hawk that garbage on the lowest rated cable channel u work for."

https://t.co/CkvnHh3G2j

It’s true Fake News Acosta’s reps have BEEN BEGGING to be on the #1 show on Cable News & 618 Of the top Talk Radio stations. Sorry, I wont subject my audience to conspiracy theory fake news. Go hawk that garbage on the lowest rated cable channel u work for — Sean Hannity (@seanhannity) June 14, 2019

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The two have feuded on social media before, with Acosta referring to Hannity as a "propagandist" who spreads "lies every night" in August, which at the time prompted Hannity to respond that he was "sorry your precious feelings are hurt & that people see through your lying bullshit for what it is."

Hannity also addressed Acosta live on his show last year in a monologue after Acosta noted that supporters of President Trump Donald John TrumpSteele Dossier sub-source was subject of FBI counterintelligence probe Pelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' Trump 'no longer angry' at Romney because of Supreme Court stance MORE often shouted insults at CNN reporters who cover Trump rallies.

"I’m actually going to give your network some advice, if you have an open mind and an open heart," Hannity said last year on his show. "The people of this country are screaming at you for a reason. They don’t like your unfair, abusively biased treatment of the president of the United States."