The Reds, who were guaranteed a third-placed finish regardless of the outcome, signed off 2016-17 in style as they defeated the champions in their own back yard thanks to goals from Sheyi Ojo and Trent Alexander-Arnold.
Callum Dyson pulled one back for the Blues courtesy of a deflection late on, but the visitors held out to secure a satisfying win over their neighbours.
Mike Garrity selected a side full of first-team experience for the trip across Stanley Park, with Ojo and Alexander-Arnold joined by the likes of Marko Grujic, Joe Gomez and Ben Woodburn in the starting XI.