Speaking after the match, Pochettino admitted that it was a "very tough game" for his side.
"We need to learn and improve - today was a very tough game for us," he told Sky Sports News.
"I think the first 45 minutes we competed very well and had some good chances, but the key moment came in the second half - it was a very soft penalty. When you are 2-0 down against Liverpool it is very difficult."
The loss was the Argentine's first in charge of the North Londoners since taking the helm this summer.