Mane also registered his 20th league appearance of the season at the Amex Stadium in an encounter that saw Mohamed Salah's second-half penalty seal a crucial win for the visitors.
He was in action for 89 minutes before he was replaced by Guinea international Naby Keita
"Great result and proud of my 100th game with my team, Liverpool. Thanks for the amazing support," Mane wrote on Instagram.
Three years ago, Mane joined the Reds from Southampton in a deal worth £30 million and has become a fans' favourite scoring 42 goals across all competitions thus far.