Former President Donald J. Trump, who has notably harbored a grudge against the pop music megastar Taylor Swift, set the internet ablaze on Sunday when he shared social media posts suggesting that she had endorsed him and that her fans could help him win the November election.

In a post on his social media site, Truth Social, Mr. Trump drew attention to a group of images that were created using artificial intelligence. One showed Ms. Swift dressed up as Uncle Sam with the headline: “Taylor Wants You to Vote for Donald Trump.” The others depicted a crowd of young women wearing matching “Swifties for Trump” T-shirts.

At least one of the images, which were shared by a social media influencer aligned with Mr. Trump, was labeled “satire.”

“I accept,” Mr. Trump wrote in a post, seemingly implying that he had received Ms. Swift’s endorsement.

A representative for Ms. Swift, who has not made an endorsement this election cycle after backing Joseph R. Biden Jr. in 2020, did not immediately respond to a request for comment on Monday.

The mockery from Democrats was swift.

Representative Eric Swalwell of California, appearing on CNN on Monday, said that the move would backfire on Mr. Trump.