With the Uruguayan suspended for 10 games after his already-infamous bite on Branislav Ivanovic, Daniel Sturridge led the line and scored two in a comprehensive win for the Reds.
|13/1||Liverpool are 13/1 with BetVictor to beat Everton by three goals in the Merseyside derby
"It's very much about the collective, how we pass together, how we press together and how we penetrate together. We showed that today. We're definitely not a one-man team," he told reporters after the match.
"We had a couple of group meetings this week to narrow our focus. We needed to realign the focus on what was important and what's important was the football game today."
The former Swansea City boss proceeded to hail his players' response to what had been, by his own admission, a "traumatic" week, while he was eager to laud the efforts of another standout performer in Philippe Coutinho.
"It's been a traumatic week. We accepted that. Luis did wrong, he takes his punishment and we move on," Rodgers continued.
"We were brilliant from the first whistle, right until the end. To come here and get a victory of 6-0 is very impressive."
"[Coutinho] is already a top player. Might be small in stature but he's got all the passes in the bag. He's also got strength, you could see that for the third goal. Great thing is he will only get better."