The 20-time English champions trailed 1-0 at the interval of the clash with Jurgen Klopp's side, as Luis Diaz struck in the 23rd minute of the contest in Manchester.
Man United managed to turn the game around to lead 2-1 in the 67th minute, with Kobbie Mainoo finding the back of the net with a curling effort after Bruno Fernandes's spectacular long-range strike had levelled the scores.
However, Mohamed Salah equalised from the penalty spot in the 84th minute, as Man United again failed to collect all three points from a winning position for the third time in their last three games.
The Red Devils have picked up just two points from their last three league games against Brentford, Chelsea and Liverpool, which have seriously harmed their chances of claiming a Champions League position in the Premier League table.
However, Ten Hag said that he is «very proud» of his side despite the «stupid mistakes» which have occurred in their last three matches.
«Very mixed emotions. On one side I am disappointed that we have dropped seven points in one week after being in winning positions, but we have to blame ourselves for making stupid mistakes,» the Dutchman told BBC Sport.
«On the other side I am very proud. You see how we are improving and the potential of this squad is amazing — I am proud.
»In decisive areas we were losing battles especially with young players we were not confident to win them [duels]. We encouraged in the second half to do better and they stepped up."
Ten Hag hails Kambwala for display against LiverpoolTen Hag also praised Willy Kambwala for his performance
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