The Foxes have won eight games in a row in the Premier League, romping past Aston Villa 4-1 at the weekend.
They are now second in the league, eight points behind the Reds.
Speaking about that run of wins, Evans told reporters it was linked to their 2-1 loss to Liverpool in October.
"The last game we lost was Liverpool and we were really, really gutted that day with the way it ended at the end of the game," said Evans.
"I think it gave us a real incentive to come back after that.
"I think it was just after the international break, so we came back, and we've performed tremendously since then."