The victory moves Michael Carrick’s side three points above Villa.
Wolves opened the scoring wth a goal from Joao Gomes.
Both sides met during the league phase earlier this season, with Midtjylland emerging 3-2 winners, but Nottingham Forest now have another opportunity for revenge.
Michael Carrick and Manchester United continue their unbeaten run, beating Everton at the Hill Dickinson Stadium for the first time.
The first-leg ties will be played on February 19.
Arsenal slipped further in their Premier League title charge after a stoppage-time goal condemned Mikel Arteta’s side to a 2-1 defeat
Meanwhile, 10-man Bayern Munich got a hard-fought 2-1 away win over defending champions Paris Saint-Germain.
The tough clash between the English and Portuguese sides saw Forest win through two spot kicks, the first coming from a handball incident involving Porto defender Bednarek.
“This is the wrong decision. We will not tolerate antisemitism on our streets,” Mr Starmer said.
Villa said it has formally written to Maccabi Tel Aviv and UEFA, informing them that no visiting fans will be allowed for the game.
