Suarez was suspended after he was caught on camera biting Chelsea defender Branislav Ivanovic in last Sunday's game between the two sides.
The Reds responded by demolishing Newcastle 6-0 at St James' Park, with his replacement, Daniel Sturridge, bagging a brace.
Daniel Agger gave the visitors the ideal start with a third-minute goal before Jordan Henderson doubled thier advantage after 17 minutes.
The former Chelsea striker Sturridge then struck twice before substitute Fabio Borini found the net just minutes after coming on.
Henderson picked up his second 15 minutes from the end direct from a free kick as Liverpool moved to within five points of rivals Everton
"Of course last week was difficult," Rodgers told ESPN. "I spent a lot of time talking to Luis.
"We move on from that, we don't want to keep bringing it up. He is suspended for 10 games.
"My plan is to keep him fit and working and there is a plan. It was a real test for us. We do it (move forward) collectively. Luis has been brilliant, we can only move forward with the players we have.
"As you have seen, our focus and job at hand was fantastic."
Liverpool dominated from start to finish and Agger's third-minute goal set the tone for the rest of the game.
"It was a terrific start, we were very aggressive, the pressing was very good," he said.
"Daniel Sturridge can prove to be one of the top strikers in Europe in the next three years, he needs an opportunity.
"You can see his strength, his speed his power and his finishing as well."
For Newcastle boss Pardew it was a game to forget and came just a fortnight after they were humbled 3-0 by rivals Sunderland at the same venue.
"It was an awful performance by us," Pardew said.
"We have to do something about that for next week.
"We have to stick together now we have to get ourselves disciplined we got run ragged.
"I thought that (lack of experience) was evident.
"Luckily we have three games to go to put it right. We need four points to make sure we are safe. They were very good.
"They had a great energy, but there is no excuse for our performance. Defensively we were very, very poor - we will have to make a couple of changes there.
"The only message is we will come out fighting.
"We have had two tough games at home we have got work to do, fortunately our skipper is available, we need to show that Monday morning when we show up."