Micky van de Ven Double Ends Everton's Run at New Home Ground
The Dutch defender became the first backline player to score twice in a English top-flight match for Spurs since the Belgian defender in spring 2013.
At a glance
Micky Van de Ven heads home twice in opening period
Everton's Jake O'Brien has equalizer disallowed after VAR review
Senegalese midfielder nets third in 89th minute
This loss is the Merseyside club's first at their new ground
The Tottenham defender found the net on two occasions as Tottenham prolonged their winning streak on the road in the Premier League and handed Everton their first defeat at their new home.
The Toffees were unbeaten in their five previous fixtures at their recently opened stadium at Bramley-Moore Dock, having left their historic home behind after more than a century at the conclusion of the previous campaign.
But Spurs captain Van de Ven struck on two occasions from set-pieces in the first half to put their impressive record at risk, and they were unable to mount a comeback before the midfielder - set up by ex-Everton forward the Brazilian - headed home a third to put the game to bed.
Jake O'Brien believed he had levelled the tally a short while after the defender's opener, directing a bullet header past the Spurs keeper from an Everton corner.
Beto, in the meantime, missed a handful of opportunities, while Vicario made a succession of fine stops to ensure the London club went five away games without defeat in the English top flight.
But the video assistant referee stepped in, advising the match official to review the goal on the screen and the official ruled that Jack Grealish and Iliman Ndiaye were in an illegal position and had interfered with the Tottenham goalkeeper.
The win elevates Thomas Frank's side up to third in the division, five points off local foes and leaders Arsenal.
The Merseyside club stay 14th and sit six points ahead of the relegation zone.
Tottenham analysis: Van de Ven fulfils role at both ends of pitch
After a uninspiring midweek display in the European competition against the French side, where they managed a only attempts on goal, the manager chose the French striker up front instead of former Toffees player Richarlison.
The new arrival was failed to influence the game before being replaced for the substitute after an hour on the pitch, but it emerged he wasn't needed in the final outcome.
Centre-back the Dutchman converted into an offensive threat to be reckoned with.
Tottenham's opening strike came from a cleverly executed corner routine, with Rodrigo Bentancur heading the ball toward the six-yard box for an unmarked the defender to score.
And the captain - filling in as skipper in the Argentine's absence - added his second in added time as he outjumped the England keeper to nod in.
The Dutchman was equally impressive in defensive duties, partnering effectively with Kevin Danso as the duo dealt superbly with the numerous deliveries sent their way by Everton.
Everton analysis: Everton missing finishing touch
Everton's new home had been a fortress, but it appears the novelty may have faded slightly and supporters flocked to the gates after Sarr's third for Tottenham.
The break in the team's winning streak at home will not be a massive worry for David Moyes, but their striker situation are.
The forward and Thierno Barry - the Toffees' pair of recognised centre-forwards - had netted only one league goal between them before the weekend's outing.
And they were unable to contribute to that poor record on a damp and dreary evening on Merseyside.
Beto's performance was summed up when he opted to bicycle-kick a clear chance from close range, despite having space and time to readjust for a simpler attempt that would have tested Vicario.
The substitute, as well, failed to make an impact after replacing the starter in the 65th minute.
It was not for a lack of chance. Most of Everton's offensive moves came through Grealish and the forward, who tirelessly whipped dangerous balls into the Tottenham penalty area.
What next for both teams?
The Toffees: Moyes' men travel to Sunderland in the Premier League on Monday, 3 November at 20:00 GMT.
Tottenham: Spurs travel to Newcastle's ground on late October for their next round Carabao Cup tie against the Magpies.