Gus Ragland was 24 of 33 for 214 yards passing, including a 7-yard TD pass to Young that gave Miami (2-4, 2-1 Mid-American) a 14-0 lead.
Akron took a 17-14 third-quarter lead after Ulysees Gilbert III recovered a fumbled punt and ran 46 yards for a score.
Young scored the go-ahead TD on a 3-yard run and added a 74-yard scoring run as the RedHawks pulled away.
Kato Nelson was 19 of 35 for 203 yards and three interceptions for Akron (2-2, 0-1), with a 17-yard TD pass to Nate Stewart.