Travis Binnion's side will expect to gain valuable experience playing away in each of the three ties against senior opposition from the Football League, with the fixtures to be announced at a later date.
Traditionally backed by a sizeable travelling following, the Reds will hope to clinch a top-two slot that will ensure qualification for the knockout stages.
United were the penultimate ball out of the hat for the northern section and placed in Group D.
That means games against League one pair Barnsley and Lincoln City, plus League Two side Notts County, who lost in the play-offs last term, which should provide plenty of entertainment and tough tests for the Reds.