Micky van de Ven Brace Ends The Toffees' Unbeaten Streak at Brand New Stadium
The Dutch defender became the first defender to net two goals in a English top-flight game for Tottenham since Jan Vertonghen in spring 2013.
At a glance
The Spurs defender heads into the net twice in first half
The home side's Jake O'Brien has equalizer ruled after video check
Senegalese midfielder nets third in dying moments
The defeat is Everton's first at their new ground
The Tottenham defender scored twice as Spurs extended their unbeaten run 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 Bramley-Moore Dock, having left Goodison Park behind after more than a century at the conclusion of last season.
But Spurs captain Van de Ven pounced twice from corners in the first half to put their strong form at jeopardy, and they were unable to turn it around before the midfielder - assisted by ex-Everton forward the Brazilian - headed home a final goal to seal the victory.
The Everton defender believed he had levelled the tally a short while after the defender's opener, directing a powerful header past the Spurs keeper from an set-piece.
Beto, meanwhile, missed a number of opportunities, while the Italian goalkeeper made a succession of excellent saves to ensure the London club went five matches on the road without defeat in the English top flight.
But the video assistant referee intervened, instructing Craig Pawson to check the goal on the pitchside monitor and the official ruled that the winger and Iliman Ndiaye were in offside positions and had interfered with the Tottenham goalkeeper.
The win elevates Thomas Frank's team into third place in the division, a handful of points off local foes and leaders the Gunners.
The Merseyside club stay in 14th position and sit six points ahead of the drop zone.
Spurs breakdown: The defender fulfils duties at each end of pitch
After a drab weekday performance in the European competition against Monaco, where they managed a mere attempts on target, Frank opted for Randal Kolo Muani up front instead of ex-Everton forward the Brazilian.
The summer signing was unable to influence the game before being replaced for the substitute after an hour on the pitch, but it turns out he wasn't needed in the final outcome.
Centre-back the Dutchman converted into an attacking force to be feared.
Spurs' opening strike came from a well-worked corner routine, with Rodrigo Bentancur directing the ball toward the face of goal for an unmarked the defender to head home.
And the captain - filling in as skipper in Cristian Romero's unavailability - added his next goal in added time as he rose above Jordan Pickford to nod in.
The Dutchman was equally impressive in defensive duties, combining effectively with his defensive colleague as the duo dealt excellently with the numerous deliveries sent their way by Everton.
Everton analysis: Toffees missing striker's instinct
Everton's new home had been a happy hunting ground, but it appears the freshness may have faded somewhat and fans headed to the gates after the midfielder's final goal for Spurs.
The end in the team's winning streak at home won't be a major worry for the manager, but their striker situation will be.
Beto and Thierno Barry - the Toffees' pair of recognised centre-forwards - had netted only one league goal combined before the weekend's match.
And they were unable to contribute to that poor record on a damp and dreary night on in Liverpool.
The striker's form was epitomized when he chose to overhead kick a clear chance from near the goal, despite having space 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. The majority of the home side's offensive moves came through the winger and Ndiaye, who relentlessly delivered dangerous crosses into the Tottenham box.
Upcoming fixtures for both teams?
Everton: Moyes' men travel to Sunderland in the Premier League on Monday, 3 November at 20:00 GMT.
Spurs: Spurs go to Newcastle's ground on Wednesday, 29 October for their next round League Cup match against the Magpies.