Neil Critchley's side are paired with Sunderland, Wigan Athletic and Huddersfield Town in Group F.
The young Reds will take on each of their three opponents home and away, with the top two progressing to the last 16.
Dates and venues for the ties
Sunday October 6: Wigan Athletic (H) 3pm, Kirkby Academy.
Sunday November 10: Sunderland (A) 12 noon, Eppleton Collieray, Hetton-le-Hole.
Monday December 2: Huddersfield Town (A) 7pm, John Smith’s Stadium.
Friday January 17: Wigan Athletic (A) 7pm, DW Stadium.
Sunday February 9: Sunderland (H) 1pm, Kirkby Academy.
Sunday February 23: Huddersfield Town (H) 2pm, Kirkby Academy.