Cook completed 23 of 28 passes and Trautman had 10 receptions for 122 yards and the three touchdowns.
The Flyers (4-1, 2-0 Pioneer League) led 14-0 in the first quarter and later 28-14 in the third after the last Cook-to-Trautman touchdown. Valpo's Ollie Reese returned the ensuing kickoff 95 yards for a touchdown, but Dayton wrapped it up with Ryan Skibinski's 16-yard scoring run and a 5-yard scoring run by Cook.
Valpo's Deuce Larose caught a 15-yard pass from Chris Duncan on the final play from scrimmage.
Duncan completed 13 of 27 passes for 148 yards with the touchdown and one interception for the Crusaders (0-6, 0-2). He was the game's leading rusher with 154 yards on 14 carries, including a first-quarter scoring run of 76 yards.
Sean Prophit had 92 yards on 15 carries for the Flyers.
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