"You have to say that Villa did very well," Klopp told BBC Sport. "They were very physical, very smart and very direct, we were not.
"We had big chances which we did not use, but when you concede seven I'm not sure you can say it would have been 7-7. We made too many mistakes and massive ones obviously. It started with the first goal and around the goals, we made massive mistakes."
"We never dreamed of getting a result like this," Villa boss Dean Smith told BBC Sport.
"The performance was outstanding from start to finish. We created an awful lot of chances against an exceptional defence and team. We had to work very hard."