Reds fans were able to see four of their new signings in Naby Keita, Fabinho, Xherdan Shaqiri and Alisson Becker.
Fabinho missed a penalty, but Roberto Firmino gave the home side the lead shortly after.
Georginio Wijnaldum doubled their advantage in the 23rd minute.
The former England striker netted from Shaqiri's cross, scoring his sixth goal of the preseason preparations.
The Reds now play the first game of their Premier League season on Sunday against West Ham United.