The Reds used to play second-string matches at the Shakers' home ground and the clash provides Warren Joyce with an opportunity to gives his players a run-out after only one Under-21 fixture since 23 August.
Will Keane marked his comeback from injury with a goal in that game, a 4-1 triumph against Bolton Wanderers, and looks likely to step up his bid for full fitness. Jesse Lingard, who struck twice against the Trotters, has since gone out on loan to Birmingham City.
United also face Bolton in the competition on Monday, at The County Ground, with the winners of the group facing either Manchester City, Oldham Athletic or Rochdale in the final of the new-look competition.
The clash with Bury is exclusively live on MUTV with kick-off at 7pm.