Brooks Lennon continued his fine run of goalscoring form to give Michael Beale’s side the lead midway through the first half, before captain Harry Wilson netted from the spot with 13 minutes remaining and Cameron Brannagan added a late third with a superb long-range strike.
The young Reds now sit three points clear of Ipswich Town - who they beat 3-0 away last month - and West Bromwich Albion at the top of Group G, and return to Premier League Cup action against the Baggies next month.
Lennon’s clinical equaliser claimed a point for Liverpool in their International Cup tie with Porto in midweek, and the American forward notched his third goal in four games 25 minutes in.