The first of those two scores was a 60-yarder that capped a 17-point third quarter for the Falcons (3-3, 1-1), who trailed 10-0 at halftime.
Bowling Green held the Zips (1-5, 0-2), who gained 280 first-half yards, to 36 in the second half.
Anthony Samuel, who carried 15 times for 117 yards, started the Falcons off quickly in the third quarter with runs of 27 and 20 yards on the first two plays from scrimmage. Bowling Green had 144 rushing yards in the third quarter as it won for the 500th time in the program's 94 seasons against 349 losses and 51 ties.
Akron's Dalton Williams, who was averaging 335.8 yards passing, was held to 228, completing 29 of 50, including a touchdown.
SEC Network highlights Gator student-athletes graduating this weekend, including gymnast Bridget Sloan and linebacker Jelani Jenkins.
SEC Network's Marcus Spears and Kevin Weidl break down the best fit, top value and Saturday sleeper after Day 2 of the 2016 NFL Draft.
Former Auburn OT Shon Coleman, who was diagnosed with leukemia in 2010, speaks at St. Jude Children's Research Hospital about being drafted by the Browns.
Former Florida DE Jonathan Bullard discusses reaching his dream of being drafted as he was selected in Round 3 by the Chicago Bears.
SEC Network's Marcus Spears and Kevin Weidl react to the Tide players taken on Day 2 of the NFL Draft and predict what's in store for Henry and Ragland.
Edward Aschoff and Paul Finebaum break down what's going on at Ole Miss following Laremy Tunsil's admission that he took money from an Ole Miss official.