The Spanish midfielder scored the only goal of the tie in the second half to see United through to a fourth round match, away at either Tranmere Rovers or Watford, who had their replay postponed on Tuesday night.
Mata chipped a sublime finish in the second half after the Reds had suffered a shock in the first 45 minutes when Wolves appeared to open the scoring, through Pedro Neto, only for VAR to cancel it out and help set us up for eventual victory.
Mata started off on the front foot, carrying on where he left off, following his excellent performance against Norwich City.