Marshun Newell hit four 3-pointers and finished with 15 points for UT Martin (3-1). Twymond Howard added 13 and seven rebounds for the Skyhawks. Taylor made all eight of his free throw attempts to help UT Martin convert 88.5 percent (23 of 26).
Trapp gave Bethune-Cookman a 26-25 lead with 5:19 left in the half, but the Wildcats finished on a 13-1 run. Alex Anderson and Howard scored five apiece during the run and Dee Oldham had a three-point play.
Newell made two 3-pointers during a 13-0 run to give UT Martin a 58-36 advantage with 10:24 remaining.