Sheffield United manager Chris Wilder admitted that it was tough losing to Liverpool but he was pleased his charges nonetheless.
Sheffield took the lead through Sander Berge's penalty before Firmino and Diogo Jota slotted two goals for Liverpool to secure three points.
"It was certainly a better performance than when we came here last year," Wilder said via The Star.
"And while we are after three points in every game, it is the Premier League and I don't think Liverpool have been beaten for about 17 years at home.
"There was a team who came into the game on one point against a team packed full of world-class players and I was delighted to see us stick our noses in front.
"The longer the game went on, we stayed in the game. The timing of the first goal was really disappointing from our point of view.
"We could have done better with that one and certainly with the second one.
"We certainly could have done better with the positions we got in at the top end of the pitch. They found that last ball and finish and we didn't.
"Attitude wise, right to the end, we were not feeling sorry for ourselves and there were no white flags up. But this division is ruthless and cruel and it is a cruel one to take.”