Molly Sharpe opened the scoring in the contest in the final minute of the first half before Emily Roberts' individual goal clinched the three points for the hosts.
The result means Vicky Jepson's side end 2020 with a defeat and will remain behind Durham in the league standings.
Full time here at Maiden Castle. #LFCWomen | #FAWC https://t.co/OOrzj1Tyx7
— LiverpoolFCW (Liverpool FC Women) 20th Dec 14:01
Liverpool, without the injured Rachel Furness, handed a first league start to Missy Bo Kearns and were largely on top throughout the first half.