Sturridge missed nine games due to an ankle injury, but the England international came off the bench on Sunday to resume his prolific partnership with Luis Suarez once again.
Rodgers' side were coasting courtesy of an own-goal from Ryan Shawcross and Suarez's opener, but goals from former Liverpool duo Peter Crouch and Charlie Adam made it 2-2 at half-time.
Sturridge wasted no time in linking up with Uruguay striker Suarez as he laid on a 22nd top-flight goal of the season for the Premier League's leading scorer.
He told Sky Sports: "I thought he was outstanding coming in after being out for so long, with his pace and movement.
“You can see for Luis' goal there, his pace takes him away and his skill to bring it inside. Two outstanding players and anyone will tell you the top players can play together."
"We made mistakes definitely, which wasn't so great and we'll assess that," he added. "But to come here and scored five goals, and it's the first time Liverpool have won here in the Premier League, was fantastic."
"I think it's one that I'd call a Spanish penalty, where the attacker goes into the defender, the defender doesn't get the ball, but momentum takes him over," he explained.
