Moore went 20-of-28 for 297 yards through the air, connecting with Austin Pettis and Tyler Shoemaker for scoring strikes in the first half en route to a 28-7 lead at the break.
Martin added a pair of scores on 21 carries for the Broncos (7-0, 3-0 WAC), who defeated Louisiana Tech (3-5, 2-2) for the ninth straight time.
The Bulldogs were led by Ross Jenkins, who hit on 24 of his 39 pass attempts for 223 yards and a score. But he was sacked four times for 25 yards in total losses.
Lennon Creer logged 35 carries for 148 yards and two touchdowns for Louisiana State.