Ben Osborn scored a consolation goal for the Reds on a night when fellow first team squad members Jamie Paterson, Dorus de Vries and Lars Veldwijk started the game.
Two Forest fixtures, meanwhile, have been chosen for live television coverage. The game against Leeds United at the City Ground on Saturday 20 December will kick-off at 5:15pm while it is a 12pm start for the home match against Birmingham City on Sunday 28 December.