Source: The Washington Post - Link
McConnell, one would think (but consistency is never a barrier for him), cannot object if the new administration’s Justice Department prosecuted the former president. McConnell no doubt resents Trump for costing him the Senate majority. He likely would be pleased if some prosecutor could do the job for him.
McConnell is a master of parliamentary deflection. By pushing this off to other courts, he may be able to regain a Senate majority.