Shepherd drove 70 yards on five plays for the game-winning score, which was set up by a 54-yard pass from Tinsman to Mitchell Pollard. Redshirt-freshman running back Jabre Lolley added 73 yards on 15 carries for the Rams.
The Mountain Lions were led by junior wide receiver Darrick Williams, who caught a career-high eight passes for 67 yards. Redshirt freshman quarterback Brian Novak went 22 for 47 for 175 yards and ran for 29 yards and a touchdown.
Concord (2-1) held advantages over Bowie State (2-1) in first downs (16-9), total yards (266-208) and passing yards (175-42).
Ray Russ also threw for 308 yards and four touchdowns for the Falcons (2-1).
Levaughn Hughes and Connor Arila had 100-yard receiving performances for the Bobcats (1-2) with 120 and 103 yards, respectively. Jeremy Mussleman went 23 for 42 with a pair of touchdowns and two interceptions for Wesleyan.