The defeat, Mourinho's worst home loss as a manager, leaves United with just one win from their opening three matches, having slipped to defeat against Brighton last week.
Yet, while American owners the Glazer family remain unpopular among many fans, United have spent lavishly in the transfer market in recent years.
Monday night was nothing short of a disaster for Manchester United. The Portuguese manager showed some frustration with a must-see moment in his post-match press conference.
After the game, some Man United supporters in the front row of Old Trafford asked to have to their picture taken with the man whose brace put them to bed - Moura.
He said: "I won three Premier League titles, more than the other 19 managers".
Mourinho's defence missed a player of the same authority and a couple of errors from substitute Victor Lindelof, who replaced the injured Jones, almost gifted Spurs further goals.
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Hugo Lloris kept his place in the Spurs goal and retained the captain's armband despite being arrested for drink driving in the early hours of Friday.
The France captain apologised "wholeheartedly" for his actions on Friday and started against United, with sMousa Dembele and Danny Rose coming into the side. Romelu Lukaku rounded Hugo Lloris but sent his shot on the angle wide of the open goal from 12 yards. "They were better in the first half but we dominated from then on and the clean sheet was a bonus", said the Argentine.
Shortly after halftime, Spurs punished some feeble defending.
"But, look, we have a really good spirit, a really good group of lads and a group that want to work, want to achieve big things here".
Moura added his second of the evening in the 84th, superbly beating Chris Smalling and firing into the bottom corner after a swift break to seal a 3-0 win.
By trying to make things more entertaining they left themselves more vulnerable to this exact tactic - but were also far more entertaining to watch.
"Like I said, I am sorry for the fans, not just the ones here but the ones at home that have been watching and supporting us".More news: Oil rises as China demand resumes, signs that Iran supply curbed