Chattanooga (9-3) moves on to play No. 1 seed Jacksonville State (10-1) in the second round next Saturday.
Huesman was 17 of 25 for 211 yards with a 43-yard touchdown pass to C.J. Board, with 13 and 38-yard scoring strikes to James Stovall.
Richardre Bagley ran for a 40-yard touchdown, Lucas Webb had a 75-yard interception return for a touchdown, and the Mocs led 31-0 at halftime.
Webb's ninth career interception tied head coach Russ Huesman, who played for Chattanooga in 1978-1981.
The Mocs' Derrick Craine ran for 159 yards with a touchdown, and Dale Warren blocked a field goal attempt for a safety to stretch Chattanooga's lead to 43-14 early in the fourth quarter.
Kevin Anderson threw for 329 yards with three touchdown passes for Fordham (9-3).