Having gone down 3-2 to Brighton in a shock reverse last week, United were hoping for better fortunes as they welcomed Spurs to Old Trafford on Monday.
Jamie Redknapp has warned Jose Mourinho that the "writing is on the wall" at Manchester United.
Harry Kane shrewdly backed away before attacking the ball as he leapt above Jones to head home a Kieran Trippier corner in the 50th minute and two minutes later Moura slipped the ball home after a fine break and low cross from Christian Eriksen.
In a press conference following the heavy defeat, Mourinho lashed out at journalists in a moment of madness before exiting the room.
Mourinho then left his seat repeating "respect, respect, respect" as he walked out.
"There's such a disorganisation at times that they're always going to get beaten once the games settled down", Neville said on Sky Sports.
It was the 23-year-old's first Premier League start against a top-six side since September 2016 and his early-season form is likely to result in a call-up to Gareth Southgate's England squad on Thursday.
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.
But, ultimately, defensive and mental brittleness saw Mourinho's men collapse, with just 133 seconds between the visitors' first and second goals.
Former Liverpool FC captain Redknapp believes Mourinho is facing an uncertain future at Manchester United. There are lot of positive things but we've got to get points.
Mourinho added: "I don't think it's normal for a team to lose at home and (the fans) react like that".
"But all our fans don't read papers, all our fans don't watch television, all our fans are more intelligent than that - they answered in an absolutely unbelievable way".