Van de Ven Double Halts The Toffees' Run at New Stadium
The Dutch defender became the first defender to score two goals in a Premier League game for Tottenham since Jan Vertonghen in spring 2013.
Match summary
Micky Van de Ven heads home two times in opening period
Everton's Jake O'Brien has goal ruled after VAR review
Pape Matar Sarr scores final goal in dying moments
The defeat is the Merseyside club's first at Hill Dickinson Stadium
Micky van de Ven scored on two occasions as Spurs prolonged their unbeaten run on the road in the Premier League and handed Everton their initial loss at their new home.
Everton were undefeated in their five previous fixtures at their new ground at the dockside location, having left their historic home behind after more than a century at the conclusion of the previous campaign.
But Spurs captain Van de Ven pounced twice from set-pieces in the opening 45 minutes to place their strong form at risk, and they were unable to mount a comeback before the midfielder - assisted by ex-Everton forward Richarlison - headed home a final goal to put the game to bed.
The Everton defender believed he had levelled the scores a short while after Van de Ven's opener, directing a bullet header past Guglielmo Vicario from an set-piece.
Beto, meanwhile, missed a number of chances, while the Italian goalkeeper made a succession of fine stops to ensure Tottenham went five matches on the road unbeaten in the Premier League.
But the VAR stepped in, instructing Craig Pawson to check the goal on the pitchside monitor and the official decided that Jack Grealish and the attacker were in offside positions and had interfered with the Tottenham goalkeeper.
The win moves Thomas Frank's team into third place in the division, a handful of points off local foes and table-toppers the Gunners.
The Merseyside club remain in 14th position and sit six points clear of the drop zone.
Spurs breakdown: The defender fulfils role at both ends of the field
Following a uninspiring weekday performance in the Champions League against the French side, where they managed a mere attempts on goal, Frank opted for the French striker in attack instead of ex-Everton forward the Brazilian.
The summer signing was failed to make much of an impact before being substituted for Richarlison after 60 minutes on the pitch, but it emerged he proved unnecessary in the final outcome.
Defender the Dutchman transformed into an attacking force to be feared.
Spurs' first goal came from a cleverly executed corner routine, with the midfielder heading the ball toward the six-yard box for an unmarked the defender to score.
And the captain - stepping up as skipper in the Argentine's unavailability - added his second in first-half stoppage time as he rose above Jordan Pickford to nod in.
The Dutchman was equally impressive in defensive duties, combining effectively with Kevin Danso as the duo dealt excellently with the 34 crosses sent their way by Everton.
Toffees breakdown: Toffees lacking striker's instinct
The club's recent stadium had been a happy hunting ground, but it appears the novelty may have worn off somewhat and supporters flocked to the exits after the midfielder's final goal for Spurs.
The break in Everton's winning streak at home won't be a massive worry for the manager, but their striker situation are.
The forward and the other striker - the Toffees' two established strikers - had netted only a single goal between them before the weekend's match.
And they were failed to add to that miserable record on a damp and dreary night on in Liverpool.
The striker's form was epitomized when he opted to overhead kick a clear chance from close range, despite having room and time to readjust for a simpler shot that would have tested the keeper.
The substitute, too, was unable to make an impact after coming on for Beto in the 65th minute.
It wasn't for a shortage of chance. Most of Everton's offensive moves came through the winger and Ndiaye, who tirelessly delivered threatening balls into the Spurs penalty area.
What next for both teams?
Everton: Moyes' men head to the Stadium of Light in the Premier League on Monday, 3 November at 20:00 GMT.
Spurs: Spurs go to St James' Park on Wednesday, 29 October for their next round League Cup match against Newcastle.