The move was instigated by Ed Martin, a Trump loyalist who has said it is legitimate for officials to publicly air criminal investigations into people targeted by the president.
President Trump has been trying to fire Lisa Cook, a Federal Reserve governor, over allegations that she falsified bank documents to obtain favorable terms on a mortgage.
The Justice Department’s inspector general disclosed new details about the extent of misconduct by a top F.B.I. counterintelligence official, Charles McGonigal.