Early in the first half, Haymond was fouled from behind by Northern Illinois starting guard Travon Baker, setting off a scuffle between the teams. Baker, who has averaged over 12 points per game this season, was ejected.
Moore sank three 3-pointers in the first half to help Western Michigan to a 40-28 lead at the break.
Avery hit a 3-pointer early in the second half to extend the Broncos lead to 57-37 with 14:00 to play and they cruised to the win.
Aaric Armstead scored 15 points with seven rebounds and three assists for the Huskies (14-3, 3-1). The loss ends a seven-game winning streak for Northern Illinois.