Suarez added his second to make it eight in the league this season and had it not been for goalkeeper Maarten Stekelenburg the scoreline would have been a whole lot worse.
Rodgers saw his side bounce back from last week's defeat at Arsenal, their second of the season, in resounding fashion.
"I thought we played very well. Our appetite for the game was outstanding," he said.
"We had a hunger to get the ball and we had more than 30 shots on goal, it was a real dominant performance, very pleasing."
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