In a memo to employees obtained by The Washington Post's Erik Wemple, CEO Bob Gamgort called Keurig's decision to explain its plan to "pause" its advertising with Hannity's show "highly unusual" and "outside of company protocols".
The Fox host lost a number of advertisers over his coverage of the Moore scandal.
On his program Tuesday night, Hannity said he gave Moore 24 hours to "come up with a satisfactory explanation" for the accusations, which include claims of sexual assault from women who said Moore attacked them when they were teenagers and he was in his 30s.
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".
His comments come after the RNC and a series of senior Republicans, including former Alabama Senator and current Attorney General Jeff Session, abandoned their support for Moore.
Congress MLAs favour diluting medical bill; health minister threatens to quit
The protest was started on the first day of the 10-day winter session of Karnataka Legislature, which began on Monday. The private hospitals had very few doctors on duty to look after in-patients and for emergency services.
Moore on Monday again denied the allegations, and in campaign events in recent days pledged to continue in the race.
Hannity said on his show Thursday that viewers shouldn't rush to judgement against Moore. "You must remove any doubt".
Hannity said he was concerned over Moore's "inconsistencies" and his denial of knowing his fifth accuser, before a yearbook was produced with an inscription to her, allegedly from Moore, calling her "beautiful".
"I apologize when I misspoke and was not totally clear earlier today", Hannity tweeted. "If he can't do this, then Judge Moore needs to get out of this race".
Under the hashtag #boycottkeurig and #IStandWithHannity fans fought back to Friday's announcement by Keurig, posting videos of themselves destroying their coffee makers.
Companies including the Keurig coffee machine makers and Volvo vehicle manufacturers have pulled their adverts from Hannity's show in the wake of his comments about Moore.