Sadio Mane scored both goals in the match at Anfield, tapping in with 17 minutes played and heading home late on to seal his side’s 30th win of the league campaign.
But it was not enough for the Reds to overtake Manchester City, who clinched the championship with a 4-1 victory at Brighton and Hove Albion.
Jürgen Klopp’s men will now turn their attentions to their second successive Champions League final appearance next month, with Tottenham Hotspur the opposition in Madrid.
Team news
Klopp made two changes to the XI that began against FC Barcelona on Tuesday night, with Georginio Wijnaldum and Mohamed Salah replacing James Milner and Xherdan Shaqiri respectively.