Micky van de Ven Brace Ends The Toffees' Run at New Stadium
Micky van de Ven became the initial backline player to score two goals in a English top-flight match for Spurs since Jan Vertonghen in March 2013.
At a glance
The Spurs defender heads into the net two times in first half
Everton's Jake O'Brien has goal disallowed after VAR review
Pape Matar Sarr nets final goal in dying moments
The defeat is Everton's initial at their new ground
Micky van de Ven scored on two occasions as Spurs extended their unbeaten run in away games in the top division and handed Everton their first defeat at Hill Dickinson Stadium.
The Toffees were undefeated in their five previous fixtures at their recently opened stadium at Bramley-Moore Dock, having departed Goodison Park behind after more than a century at the end of the previous campaign.
But Spurs captain the Dutchman pounced twice from corners in the first half to put their impressive record at risk, and they were failed to turn it around before Pape Matar Sarr - set up by ex-Everton forward Richarlison - nodded in a third to seal the victory.
Jake O'Brien believed he had equalized the scores a short while after the defender's first goal, directing a bullet header past Guglielmo Vicario from an set-piece.
The Portuguese striker, in the meantime, missed a number of opportunities, while the Italian goalkeeper made a series of excellent saves to ensure the London club went five away games without defeat in the English top flight.
But the video assistant referee intervened, instructing the match official to check the goal on the screen and the referee ruled that the winger and the attacker were in an illegal position and had impeded with the Spurs keeper.
This victory elevates the manager's team into third place in the Premier League, a handful of points off local foes and table-toppers the Gunners.
Everton stay 14th and are six points clear of the relegation zone.
Spurs breakdown: The defender excels in role at both ends of pitch
After a uninspiring weekday display in the Champions League against the French side, where they managed a mere two shots on goal, the manager opted for Randal Kolo Muani up front instead of ex-Everton forward the Brazilian.
The summer signing was unable to make much of an impact before being replaced for Richarlison after 60 minutes on the field, but it turns out he proved unnecessary in the final outcome.
Defender the Dutchman transformed into an attacking force to be reckoned with.
Spurs' opening strike came from a well-worked corner routine, with Rodrigo Bentancur heading the ball toward the face of goal for an free Van de Ven to head home.
And Ven de Ven - filling in as captain in the Argentine's unavailability - notched his next goal in first-half stoppage time as he outjumped Jordan Pickford to nod in.
Van de Ven was equally impressive in defensive duties, partnering well with his defensive colleague as the pair dealt excellently with the 34 crosses sent their way by the opposition.
Toffees breakdown: Everton missing striker's instinct
The club's recent stadium had been a fortress, but it appears the novelty may have worn off slightly and fans headed to the exits after the midfielder's final goal for Tottenham.
The break in the team's unbeaten home run won't be a major worry for David Moyes, but their attacking woes will be.
Beto and the other striker - the Toffees' two recognised centre-forwards - had netted only a single goal combined before Sunday's outing.
And they were failed to add to that miserable record on a wet and gloomy night on Merseyside.
The striker's performance was summed up when he opted to bicycle-kick a clear chance from close range, even with having room and opportunity to readjust for a more conventional attempt that would have tested the keeper.
The substitute, too, failed to make an impact after coming on for Beto in the second half.
It was not for a shortage of opportunity. The majority of the home side's attacks came through the winger and Ndiaye, who tirelessly delivered dangerous balls into the Tottenham penalty area.
Upcoming fixtures for both teams?
Everton: Moyes' men head to Sunderland in the Premier League on Monday, 3 November at 20:00 GMT.
Spurs: Spurs go to St James' Park on late October for their next round Carabao Cup tie against Newcastle.