Swansea boss Laudrup was hugely disappointed with the performance at Anfield, which came after he rested seven players ahead of Sunday's Capital One Cup final as the club seek to win their first major trophy against League Two Bradford.
"Always when you lose, you have to accept the criticism and I do that," he said.
"We paid the ultimate price because 5-0 is a big result. I hope this is a one-off.
"I hope it has happened because of what is going to happen at the weekend but it is no excuse.
"What happens next Sunday is more important than what happened yesterday.
"That was one of only 38 games. Sunday is maybe one of the most important games in the history of the club."