"What we did so well in the last 15-20 minutes of the first half was that we chose to connect with the attacking players by transporting the ball, leaving the ball in the right moment, the right choice of pass, playing simple, accelerating the game", he told MUTV.
"With all the respect for dogs because I love them".
The atmosphere around the training ground at Carrington has been described as "unbearable" with many players and staff feeling the situation can not continue for much longer.
It leaves both with better bargaining power when it comes to wages and Neville feels players are able to do that with increasing frequency due largely to the weakened bargaining position of the club.
"Doesn't matter the system we play", Mourinho said.
"McTominay and Matic did a very good job for two midfield players".
Seven minutes later Cedric curled home a free kick after Rashford had fouled Mario Lemina as he tried to cover that exposed defence.More news: Lion Air crash: Investigators say plane was 'not airworthy'
José Mourinho reportedly clashed with Paul Pogba after the match, after a lacklustre performance from the Frenchman in which he gave the ball away several times.
So what went wrong after the break?
Speaking to BT Sport immediately after the final whistle, Mourinho said: "I'm pleased with Marcus Rashford even without that (scoring)".
Jose Mourinho is frustrated over the decision-making by his Man Utd players in the second half and not moving the ball faster in the 2-2 draw at Southampton.
Instead, they failed to take control and David De Gea was the busier of the two goalkeepers, producing a fine save late on to tip a shot from Nathan Redmond to safety.
"We defended better in the second half and I never felt we came under sustained pressure and we were prepared to ask questions in their half".
Two of the Premier League's most inconsistent teams meet and, when you look at the records of these teams, you can see just how hard it is to call the game. "But I'll deal with it and you can see that everyone is fully engaged".