Claire Emslie's fourth-minute strike had given the visitors the lead early on, before Alessia Russo's looping header shortly before half-time levelled the scores.
Captain Katie Zelem completed the turnaround from the penalty spot early in the second half before Russo nodded home again in the closing stages to make sure of the victory.
FIRST HALF
After an entrance onto the Old Trafford turf to remember, the Reds had to respond to an early setback that was not in the perfect script. The visitors' Kenza Dali set Emslie away down the right flank, with the latter driving into the box and powering into the bottom left corner to open the scoring just four minutes in.