Liverpool manager Jurgen Klopp, speaking to BBC Match of the Day: "We had our good moments during the game but were not clinical enough, especially in the first half.
"I don't always believe we can win every game but I never give up. So when we scored the equaliser I thought, 'that's what we deserve'.
"We know we can do better, but on days like this you just need to be ready to fight. When you play in a stadium like Villa Park it's fair you might get a little knock.
"After the first half we realised we were in the wrong path and we made changes."
Aston Villa manager Dean Smith, speaking to BBC Match of the Day: "We're disappointed we have come out with nothing.
"It's a tough one to take. We created some big chances in the game but two basic mistakes cost us.
"We were always a threat on the counter-attack. We knew they were always going to have the ball.
"Their full-backs are very attacking. I think we got away with one with the VAR incident [Firmino's disallowed goal] and Lallana missed a big chance as well."