Micky van de Ven Double Halts The Toffees' Unbeaten Streak at Brand New Stadium
The Dutch defender became the first defender to net two goals in a English top-flight match for Spurs since the Belgian defender in spring 2013.
At a glance
The Spurs defender nods home two times in opening period
Everton's defender has goal disallowed after video check
Pape Matar Sarr scores final goal in dying moments
The defeat is Everton's initial at Hill Dickinson Stadium
The Tottenham defender found the net twice as Spurs extended their winning streak in away games in the Premier League and handed Everton their first defeat at their new home.
Everton were unbeaten in their last five matches at their recently opened stadium at Bramley-Moore Dock, having left their historic home behind after 133 years at the end of the previous campaign.
But Tottenham's leader the Dutchman pounced twice from set-pieces in the opening 45 minutes to place their strong form at risk, and they were failed to turn it around before the midfielder - assisted by ex-Everton forward Richarlison - headed home a final goal to put the game to bed.
The Everton defender thought he had levelled the scores a short while after the defender's opener, glancing a bullet header past Guglielmo Vicario from an Everton corner.
Beto, in the meantime, missed a number of chances, while Vicario made a succession of fine saves to ensure the London club went five matches on the road without defeat in the English top flight.
But the video assistant referee stepped in, advising the match official to check the score on the pitchside monitor and the official ruled that Jack Grealish and Iliman Ndiaye were in an illegal position and had impeded with the Tottenham goalkeeper.
This victory moves the manager's side into third place in the division, a handful of points off north London rivals and table-toppers Arsenal.
The Merseyside club stay 14th and sit half a dozen points ahead of the relegation zone.
Spurs breakdown: Van de Ven excels in duties at each end of pitch
Following a uninspiring weekday performance in the Champions League against the French side, where they mustered a mere two shots on target, Frank chose the French striker in attack instead of former Toffees player the Brazilian.
The summer signing was unable to make much of an impact before being substituted for the substitute after an hour on the field, but it turns out he wasn't needed in the final outcome.
Centre-back the Dutchman converted into an offensive threat to be reckoned with.
Spurs' opening strike came from a cleverly executed set-piece play, with Rodrigo Bentancur heading the ball toward the face of goal for an unmarked Van de Ven to score.
And the captain - filling in as captain in Cristian Romero's absence - added his second in added time as he outjumped Jordan Pickford to nod in.
The Dutchman was equally impressive in defence, partnering well with Kevin Danso as the pair handled superbly with the numerous deliveries sent their way by the opposition.
Everton analysis: Everton missing striker's instinct
The club's new home had been a fortress, but it seems the freshness may have faded slightly and supporters flocked to the gates after the midfielder's final goal for Tottenham.
The break in the team's winning streak at home won't be a major worry for the manager, but their attacking woes are.
The forward and the other striker - the Toffees' pair of established centre-forwards - had scored just a single goal between them before Sunday's outing.
And they were failed to add to that miserable tally on a damp and dreary evening on Merseyside.
Beto's form was epitomized when he chose to overhead kick a clear chance from close range, despite having room and opportunity to readjust for a simpler shot that would have tested Vicario.
The substitute, as well, was unable to make an impact after replacing the starter in the second half.
It was not for a shortage of chance. The majority of Everton's attacks came through Grealish and Ndiaye, who relentlessly whipped threatening crosses into the Spurs penalty area.
Upcoming fixtures for both teams?
The Toffees: Moyes' men travel to the Stadium of Light in the top flight on Monday, 3 November at 8 PM.
Tottenham: The London club go to St James' Park on late October for their next round League Cup match against Newcastle.