The victory maintained Liverpool’s unbeaten start to the season and kept them six points clear of Manchester City at the top.
“It’s always going to be tough but our reaction was perfect,” said Mane. “In the first half it wasn’t our best performance but, like we said, we just had to push hard as a team and give everything and try, try again.
“That’s what we tried to do and at the end we created some chances and we scored two goals. For sure it wasn’t our best performance but we deserved the three points.
“I’m struggling to describe how happy we are. But for sure we are very happy and we deserved to win these three points, which was really important for us.”
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Sadio Mane nods in the winner (Nick Potts/PA)
Liverpool have not lost in the top flight since a 2-1 defeat at Manchester City in January.
Saturday was the closest the Reds have come this season to surrendering their unbeaten start as Villa gave them a major scare.
Manchester City also came from behind to win 2-1 against Southampton ahead of their crucial trip to Anfield next Sunday.
Mane told the club’s website: “We have big respect for Manchester City. They are a very good team but we are Liverpool and we are also a very good team. It will be a very interesting game and we are looking forward to it.”
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