The Reds took the lead at the Volkswagen Arena and, despite later falling behind, were well in the contest at 2-3 down with just under half-an-hour left to play.
Pinpoint finishing from the hosts however, who converted five of their six shots on target, and a few too many mistakes were costly for United in the end, who fell to a first defeat of the Champions League's 'league phase'.
"I think the stats sum it up really. We [gave up] six shots on target [and] five goals," Skinner said in his post-match press conference at the Volkswagen Arena.