Micky van de Ven Double Halts Everton's Unbeaten Streak at Brand New Home Ground
The Dutch defender became the first backline player to score two goals in a English top-flight game for Spurs since Jan Vertonghen in March 2013.
Match summary
The Spurs defender nods home twice in first half
The home side's defender has equalizer disallowed after video check
Senegalese midfielder scores final goal in dying moments
The defeat is the Merseyside club's initial at Hill Dickinson Stadium
The Tottenham defender scored twice as Tottenham prolonged their winning streak in away games in the Premier League and handed Everton their first defeat at their new home.
Everton were undefeated in their five previous fixtures at their new ground at the dockside location, having departed Goodison Park behind after 133 years at the conclusion of the previous campaign.
But Spurs captain the Dutchman pounced on two occasions from set-pieces in the first half to place their strong form at jeopardy, and they were unable to mount a comeback before the midfielder - assisted by former Toffees attacker the Brazilian - headed home a final goal to put the game to bed.
Jake O'Brien believed he had levelled the tally five minutes after Van de Ven's opener, directing a bullet header past Guglielmo Vicario from an Everton corner.
Beto, meanwhile, failed to convert a handful of opportunities, while the Italian goalkeeper made a succession of excellent stops to guarantee Tottenham went five away games without defeat in the Premier League.
But the video assistant referee stepped in, advising Craig Pawson to check the score on the pitchside monitor and the referee decided that the winger and Iliman Ndiaye were in an illegal position and had impeded with the Spurs keeper.
This victory moves Thomas Frank's side up to third in the Premier League, five points off local foes and leaders Arsenal.
Everton remain in 14th position and sit six points clear of the relegation zone.
Spurs breakdown: Van de Ven fulfils duties at both ends of pitch
After a drab midweek performance in the European competition against the French side, where they mustered a only attempts on target, Frank chose Randal Kolo Muani up front instead of ex-Everton forward Richarlison.
The summer signing was unable to make much of an impact before being replaced for Richarlison after an hour on the pitch, but it emerged he proved unnecessary in the end.
Centre-back Van de Ven transformed into an offensive threat to be feared.
Tottenham's opening strike came from a well-worked corner routine, with Rodrigo Bentancur heading the ball toward the face of goal for an unmarked Van de Ven to score.
And the captain - stepping up as captain in the Argentine's absence - notched his next goal in added time as he outjumped Jordan Pickford to head home.
Van de Ven was equally impressive in defence, combining well with his defensive colleague as the pair dealt superbly with the 34 crosses thrown their way by Everton.
Everton analysis: Toffees missing striker's instinct
The club's recent stadium had been a fortress, but it seems the novelty may have worn off slightly and supporters flocked to the exits after the midfielder's third for Spurs.
The break in the team's winning streak at home will not be a massive concern for David Moyes, but their attacking woes are.
The forward and the other striker - the Toffees' two recognised strikers - had netted only one league goal between them before the weekend's outing.
And they were failed to add to that miserable tally on a damp and dreary night on Merseyside.
The striker's performance was epitomized when he opted to bicycle-kick a clear chance from close range, despite having space and time to reposition for a more conventional attempt that would have challenged Vicario.
The substitute, too, was unable to make an impact after coming on for the starter in the second half.
It was not for a lack of opportunity. The majority of Everton's offensive moves came through Grealish and Ndiaye, who tirelessly delivered dangerous crosses into the Spurs penalty area.
What next for these two sides?
Everton: Moyes' men travel to Sunderland in the Premier League on early November at 20:00 GMT.
Tottenham: The London club go to St James' Park on Wednesday, 29 October for their next round Carabao Cup match against Newcastle.