The Warhawks (3-6, 2-3 Sun Belt Conference) took a 25-24 lead with 12:47 remaining in the fourth quarter when Radi Jabour made a 48-yard field goal.
Troy (5-3, 4-1) regained the lead at 30-25 with 4:58 left in the game when Levi Brown connected with DuJuan Harris on a 29-yard passing score. Harris finished with 143 yards rushing on 20 carries, including a 45-yard rushing score in the third quarter.
But Louisiana-Monroe used a nine-play, 72-yard drive, capped by Revell game-winning touchdown pass to McCoy, who finished with two catches for four yards.
Revell completed all five of his passes for 44 yards the Warhawks. Kinsmon Lancaster completed 15 of 26 passes for 125 yards two touchdowns and one interception.
Brown also threw for 221 yards, two touchdown passes in the first half and an interception for Troy.