Leicester City manager Rodgers, speaking to BBC Sport: "We showed the mentality to come back. I thought some of our attacking play was very good. You are playing against a team that is so quick on the counter-attack but I felt we counter-pressed very well.
"Today was another sign for us of improvement where if you can't win it you make sure you don't lose it, so I am pleased with the mentality."
On Vardy: "I thought he was outstanding today. The space he creates with his movement and running. I am delighted for the team, delighted for Jamie and it was a good game of football."
Manchester United boss Solskjaer, speaking to BBC Sport: "When there is 10 minutes to go and we scored a goal you think: 'Get on the ball and see the game out.' But it wasn't to be. We have come back so many times from losing positions to win, so we know the feeling from the other side.
"Marcus Rashford is always lively. He is always there or thereabouts with scoring goals. Good finish and he knows he had a couple of other chances, but that is football for you.
"Victor Lindelof has a back problem and it seems like he has aggravated it today. We had an early kick-off today and that gives us a few more hours to prepare for the next game.
"We knew today was going to be a difficult one. It was close to a win but not close enough."