"The two goals come from us having possession and they punished us on the transition," Howe said. "It was a ruthless game for us today because I don't think we did much wrong."
The victory was Liverpool's 22nd successive Premier League win at Anfield, breaking the English top-flight record set by Shankly's team in 1972.
"We didn't think about that number before the game, but after we can," said Klopp. "It's nice, it's special, but today is a very good example that we have to fight."
"We're not geniuses, but we can really fight and that's all we have to do until the end of the season," said Klopp, who confirmed captain Jordan Henderson - missing with a hamstring injury - is likely to resume full training on Sunday before the Champions League last-16 second leg at home to Atletico Madrid.
"I think he will train tomorrow. If that looks good, I have to make a decision."