The Senegalese netted a third shortly after the restart - albeit from an offside position - and substitute Daniel Sturridge scored with his first touch in the closing stages.
Find out how all of the action unfolded on Merseyside courtesy of Sports Mole's minute-by-minute updates below.
LIVERPOOL SUBSTITUTES: Karius, Clyne, Fabinho, Henderson, Lallana, Shaqiri, Sturridge
WEST HAM UNITED SUBSTITUTES: Adrian, Zabaleta, Diop, Obiang, Snodgrass, Yarmolenko, Hernandez
LIVERPOOL XI: Alisson; Alexander-Arnold, Gomez, Van Dijk, Robertson; Milner, Wijnaldum, Keita; Mane, Salah, Firmino
WEST HAM UNITED XI: Fabianski; Fredericks, Ogbonna, Balbuena, Masuaku; Noble, Rice, Wilshere; Antonio, Anderson, Arnautovic
If you would like to read our on-the-whistle match report, you can do so by clicking here. Goodbye for now.