ChaRunn Jones scored 15 points for Menlo (2-8), a NAIA school in Atherton, Calif.
Odister's 3-pointer gave Cal Poly a 28-5 lead midway through the first half. Menlo shot 19 percent from the floor en route to trailing 42-14 at the break.
Eversley finished with eight rebounds and two steals.
Florida State's student government has passed a resolution discouraging Seminoles fans from wearing Native American headdresses at games.
The second annual Gavitt Tipoff Games, eight games between members of the Big East and Big Ten to be played Nov. 14-18, will feature Villanova at Purdue in the opener.
Michael Lewis is leaving his assistant coaching job at Butler to take the same position at Nebraska under Tim Miles.