The Senegalese opened the scoring at the Stadio Olimpico as the Reds emerged 7-6 aggregate victors despite losing the second leg of their semi-final clash with AS Roma 4-2.
Ahead of the game in the Italian capital, Jürgen Klopp promised his side were, 'here to fight for our dreams' - and Mane echoed those sentiments once the job had been completed.
He told Liverpoolfc.com: "It sounds great! Honestly I think the dream came true and [we're] very happy - the players, fans, you guys.
"I think we deserved to win and to play this final."
Trailing 5-2 from the first leg, Roma refused to accept defeat in front of their own fans, producing an admirable display to come within a whisker of forcing penalties.