Micky van de Ven Double Ends Everton's Run at Brand New Stadium
The Dutch defender emerged as the initial backline player to net two goals in a Premier League match for Spurs since Jan Vertonghen in March 2013.
At a glance
Micky Van de Ven nods into the net twice in first half
Everton's defender has equalizer disallowed after video check
Pape Matar Sarr nets third in dying moments
This loss is the Merseyside club's initial at Hill Dickinson Stadium
Micky van de Ven found the net on two occasions as Spurs extended their winning streak on the road in the Premier League and delivered the Toffees their initial loss at their new home.
Everton were unbeaten in their last five matches at their new ground at Bramley-Moore Dock, having departed Goodison Park behind after more than a century at the end of the previous campaign.
But Spurs captain Van de Ven pounced twice from set-pieces in the first half to place their strong form at jeopardy, and they were failed to mount a comeback before Pape Matar Sarr - set up by ex-Everton forward the Brazilian - headed home a third to put the game to bed.
Jake O'Brien thought he had levelled the scores a short while after Van de Ven's opener, directing a powerful header past the Spurs keeper from an set-piece.
Beto, in the meantime, missed a handful of chances, while the Italian goalkeeper made a succession of fine stops to guarantee Tottenham went five away games unbeaten in the Premier League.
But the video assistant referee stepped in, instructing the match official to review the goal on the screen and the official decided that the winger and Iliman Ndiaye were in offside positions and had interfered with the Tottenham goalkeeper.
The win moves Thomas Frank's side into third place in the division, a handful of points off north London rivals and leaders Arsenal.
Everton remain in 14th position and are half a dozen points clear of the drop zone.
Tottenham analysis: The defender excels in duties at each end of the field
Following a uninspiring midweek display in the European competition against Monaco, where they mustered a only attempts on target, Frank opted for the French striker up front instead of former Toffees player Richarlison.
The summer signing was unable to influence the game before being substituted for Richarlison after an hour on the pitch, but it emerged he wasn't needed in the end.
Defender Van de Ven transformed into an offensive threat to be reckoned with.
Spurs' first goal came from a well-worked set-piece play, with Rodrigo Bentancur heading the ball toward the six-yard box for an free the defender to head home.
And Ven de Ven - filling in as skipper in the Argentine's absence - added his next goal in added time as he outjumped the England keeper to head home.
The Dutchman was equally impressive in defensive duties, partnering effectively with his defensive colleague as the duo dealt excellently with the numerous deliveries thrown their way by Everton.
Everton analysis: Everton missing finishing touch
Everton's new home had been a happy hunting ground, but it seems the novelty may have faded slightly and supporters headed to the exits after Sarr's third for Tottenham.
The break in the team's unbeaten home run won't be a massive concern for David Moyes, but their striker situation are.
Beto and the other striker - the Everton's two recognised strikers - had scored only a single goal combined before Sunday's outing.
And they were failed to contribute to that poor record on a wet and gloomy evening on Merseyside.
The striker's performance was epitomized when he chose to bicycle-kick a clear chance from near the goal, despite having room and time to reposition for a more conventional shot that would have tested Vicario.
Barry, too, failed to make an impact after replacing the starter in the second half.
It wasn't for a shortage of chance. Most of Everton's offensive moves came through Grealish and Ndiaye, who tirelessly whipped threatening crosses into the Tottenham box.
What next for these two sides?
The Toffees: The team head to the Stadium of Light in the Premier League on Monday, 3 November at 8 PM.
Spurs: The London club go to Newcastle's ground on Wednesday, 29 October for their next round League Cup match against Newcastle.