Sean Dyche admitted Liverpool were just too good as the Clarets became the latest victims of Brendan Rodgers’ rejuvenated Reds.
The hosts made it 12 Premier League games without defeat as goals in each half from Jordan Henderson and Daniel Sturridge made their dominance count.
And Clarets boss Dyche held his hand up after conceding that his side came off second best.
He said: “Sometimes you have to give credit to the opposition and we’ve seen tonight why these players get signed for tens of millions of pounds.
“That was a highly-expensively assembled group of players, playing at the top of their game and it’s a hard task when it’s like that.
“They have quality on the pitch and from the bench and that’s part of being Liverpool Football Club.
“My lads are working hard and there is no lack of effort. The organisation was left wanting in the first half, and in the second half we got a handle on the game, but tonight it wasn’t that we were particularly bad, I just felt they were very good.”
He added: “I’m not overly disappointed in our performance. People are trying and there is good physicality, energy and the will of the side is good.
“I thought Tom (Heaton) was very good tonight, as was Ben Mee. Ross (Wallace) did well when he came on.
“They are all still learning, but we just didn’t have enough tonight against a team in top form and one that was totally different to Boxing Day at our place, when their good run started.”
Henderson opened the scoring with a fierce half volley just before the half hour after Heaton had kept Burnley on level terms with a string of top class saves.
And Sturridge made it 10 goals in his last 11 Premier League games at Anfield soon after the break to effectively kill off the game.
However, Dyche remained defiant as the Clarets now look to recharge their batteries with a 10 day break before hosting Manchester City at Turf Moor.
He added: “It’s a stiffer challenge for us because we are developing a side as well as trying to compete.
“This is part of our progress and it’s a tough one to take, but we hold our hands up and move on to the next one.
“We have a chance now to take stock. We are in the middle of this run against top teams, but beyond that the feel of the games change and I totally believe we will be going strong all the way down the season.
“There are 10 games still to go and we will be ready.”