The Reds ran out 3-0 victors in front of 72,892 people at ANZ Stadium thanks to first-half goals from Daniel Sturridge, Alberto Moreno and Roberto Firmino.
Club legends Steven Gerrard, Jamie Carragher, Steve McManaman and Daniel Agger also pulled on the shirt once more in Sydney, appearing for 45 minutes apiece alongside their first-team counterparts.
The thousands of Reds in attendance were almost treated to a dream start when Gerrard latched onto Firmino's chipped cut-back and looked certain to score with the match in its infancy.
Unusually for the former captain, though, he skewed his effort over the bar from inside the box - much to his own dismay.
Supporters weren't forced to wait long for a goal, however, with Sturridge finding the back of the net with just eight minutes on the clock.
The Englishman showed quick feet to work space on his right-hand side close to goal and subsequently finished with customary aplomb into the bottom.
The Reds doubled their lead just 10 minutes later as Firmino dinked an inventive over-the-top pass into the path of Moreno, who slammed home somewhat acrobatically with his favoured left foot.
And the creator of that goal soon came close to adding one of his own as he collected a Sturridge cross-field ball and beat a man before shooting straight at the 'keeper.
The No.11 could not miss the next chance Sturridge provided, though - a powerful cross that bounced in off his thigh from close range.
Sydney almost produced a response before the break, with Brandon O'Neill striking the bar from a tight angle, but in truth the Reds deserved the three-goal cushion they had earned by the the time the whistle sounded.
The visitors continued to create regular chances after the break, with Connor Randall's saved effort after good work from Adam Lallana the most notable following the restart.
But they had a poor miss, a last-ditch block and the woodwork to thank for their cushion remaining at three come full-time.
In the first instance, Will Mutch somehow contrived to divert the ball away from goal when a low, pinpoint cross had found him fewer than six yards out.
Ben Woodburn followed that up by almost netting a sensational solo goal courtesy of a run in off the left, but his poked effort was just about kept out when it appeared a fourth was imminent.
And Trent Alexander-Arnold came even closer at the death, smashing a right-footed attempt off the upright from inside the box.