The Manhattan district attorney’s office is considering pursuing criminal charges against the Trump Organization and two senior company officials in connection with Michael D. Cohen’s hush money payment to an adult film actress, according to two officials with knowledge of the matter.

A state investigation would center on how the company accounted for its reimbursement to Mr. Cohen for the $130,000 he paid to the actress, Stephanie Clifford, who has said she had an affair with President Trump, the officials said…

The Trump Organization recorded the reimbursement as a legal expense. But Mr. Cohen, Mr. Trump’s longtime fixer, said on Tuesday that he paid Ms. Clifford, better known as Stormy Daniels, to buy her silence during the 2016 campaign. Federal prosecutors have said the reimbursement payments were for sham legal invoices in connection with a nonexistent retainer agreement. Mr. Cohen, who pleaded guilty to federal campaign finance charges, did no legal work in connection with the matter, prosecutors said.