Both Barton and Jackson connected on 5 of 8 shots from the field and hit a pair of 3-pointers each as Memphis (8-3) shot 52 percent (26 of 50) in the game.
D.J. Stephens had six points for Memphis, hitting all three of his shots, but also finished with 14 rebounds and five blocks, both career highs.
Damen Bell-Holter led Oral Roberts (5-7) with 18 points and a season-high 14 rebounds. Bell-Holter was the only player in double figures for the Golden Eagles, who lost their third straight.
Oral Roberts' leading scorer Warren Niles, who entered the game averaging 21.3 points a game, was limited to two points, missing 10 of 11 shots.
Utah forward Brekkott Chapman, who averaged 4.4 points and 2.8 rebounds last season, has transferred to Weber State, coach Randy Rahe announced Wednesday.
Former LSU forward Ben Simmons joins The Paul Finebaum Show to talk about the prospect of being selected first in the NBA Draft.
Former Kentucky guard Jamal Murray joins The Paul Finebaum Show to discuss his mindset on the eve of the NBA Draft,