Hannity initially suggested Moore's alleged contact with the teenager was "consensual" before distancing himself from the remark.
Moore's answers, Hannity said, now seemed "inconsistent".
Keurig and other companies faced pressure to pull their ads following Hannity's interview with Roy Moore, the Senate candidate in Alabama who is facing allegations he engaged in sexual misconduct with a 14-year-old girl and pursued several teenagers while he was in his 30s.
That tweet was later deleted, and the company posted a statement on its website Sunday stating it would "continue to place ads across a broad range of networks, including Fox News and its top shows".
Hannity reposted one of the videos on Twitter with the comment "love it".
Roy Moore has griped that the media only wants to talk about the allegations that he dated teenagers
Several other brands, including DNA testing company 23 and Me, women's clothing label ELOQUII, food delivery service Hello Fresh and natural supplement maker Nature's Bounty also said they don't advertise on "Hannity". "You must immediately and fully come up with a satisfactory explanation for your inconsistencies that I just showed", Hannity said, talking about Moore's hedging on Hannity's radio show Friday, and his apparent signature in the yearbook. "You must remove any doubt", Hannity said.
Critics of the interview said Hannity went too easy on Moore.
Then on Monday a new accuser stepped forward, with her high school yearbook she says Roy Moore signed. The group's president, Angelo Carusone, told The Associated Press it again called for companies to stop supporting Hannity's program after the Moore allegations came to light Thursday in a Washington Post story.
Moore has denied the sexual misconduct allegations. The new accuser said she thought Moore was going to rape her and described in tearful, credible, intimate detail how he assaulted her in his vehicle behind the restaurant she worked.
"The American people deserve 100 percent truth and honesty", Hannity added. We needed to correct answers first time on issues of this serious. "Judge Moore, you owe that to the people of Alabama, the Republican Party that you represent, and to the country which is suffering under so many problems".
Sessions admits there's not enough evidence to probe Hillary Clinton
Is a special prosecutor needed to investigate Clinton's dealings? "Dangling [a special counsel] is risky , period", he said. John Conyers Jr., Michigan Democrat, displayed copies of a series of recent tweets from Mr.