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.
NCAA rules and compliance expert David Ridpath joins The Paul Finebaum Show to discuss the controversy of Michigan heading to Florida for football practice.
Paul Finebaum rants about SEC coaches reacting to Michigan coach Jim Harbaugh.
Mark Helfrich, criticized a year ago for signing no players from the state of Oregon, brings four of the state's top five into the 2016 fold.
The Sooners' biggest need heading into signing day was bolstering the linebacking corps, and they did just that in adding ESPN 300 LB Caleb Kelly.
Danny Kanell explains why he thinks Jim Harbaugh is making a smart move taking the Michigan football team to Florida for spring practice.
The ACC announced its 56-person 2015 all-league academic team Wednesday, with players from all 14 conference teams featured.