Any and all rights of appeal now existing by law, with respect to any act or acts constituting the exercise of any function or functions transferred by this chapter to the Office of Management and Budget or to any division or subdivision thereof, shall continue to exist with respect to such act or acts as hereafter performed by the Office of Management and Budget or by the division, subdivision or office to which such function is transferred, and each such appeal shall be perfected in the manner heretofore provided by law.