Brendan Rodgers was furious with referee Anthony Taylor after the official decided not to award Liverpool a penalty against Chelsea.
Steven Gerrard was calling for a late spot-kick when goalscorer Cahill appeared to block his shot with an arm but Taylor opted not to blow his whistle.
“It was a clear one,” a fuming Rodgers told BT Sport.
“We worked so hard in the game, we need those decisions.
“It was quite obvious, it hits his hand, it was a clear clear penalty and the referee has a clear view of it. The players gave everything and we deserved at least a point.”
Mourinho claimed the incident was too far from the dugout from him to cast judgement on the decision but was full of praise for his team’s performance.
“It was a fantastic performance. The players as individuals all had a great performance and as team they were in control,” said Mourinho. "In the second half showed something new, which is to be 1-1 at Anfield and don’t accept the result as a good result and play to win.”
The victory sent Chelsea seven points clear of Southampton at the top of the Premier League.