The result now switches matters into Manchester City's hands, who have a game in hand on Liverpool and can win the title on goal difference, even if the Reds grab maximum points from their final two matches.
"City will now feel they can go on and win their games," Rodgers told reporters. "We'll focus on the next game and continue with that positive mentality that we've had throughout the season, because that's the reason why we are where we are."
Liverpool will take on Crystal Palace and Newcastle United in their final fixtures, while City will play Everton, Aston Villa and West Ham United.
Chelsea are also in the mix for the title, sitting just two points adrift of Liverpool having played the same amount of games.