Bowers contributed 16 points and pulled down eight rebounds. Pressey also dished off five assists.
Alex Oriakhi played a big role in Missouri's win with nine points and seven boards as the Tigers (11-2) rebounded from last week's overtime loss to UCLA.
The Bison (13-3) lost despite 25 points and 14 rebounds from Mike Muscala.
Cameron Ayers chipped in with 13 points and seven boards for Bucknell.