Van de Ven Double Ends Everton's Run at Brand New Stadium
The Dutch defender emerged as the initial backline player to score twice in a English top-flight match for Tottenham since Jan Vertonghen in March 2013.
Match summary
Micky Van de Ven nods into the net twice in opening period
Everton's Jake O'Brien has goal ruled after VAR review
Senegalese midfielder nets third in dying moments
The defeat is Everton's first at their new ground
The Tottenham defender found the net on two occasions as Tottenham prolonged their unbeaten run in away games in the top division and handed the Toffees their initial loss at Hill Dickinson Stadium.
Everton were undefeated in their last five matches at their new ground at Bramley-Moore Dock, having left Goodison Park behind after more than a century at the end of the previous campaign.
But Spurs captain Van de Ven struck on two occasions from corners in the first half to put their impressive record at jeopardy, and they were unable to turn it around before the midfielder - set up by former Toffees attacker the Brazilian - headed home a third to put the game to bed.
The Everton defender thought he had equalized the tally five minutes after the defender's first goal, glancing a powerful header past Guglielmo Vicario from an Everton corner.
Beto, meanwhile, missed a handful of chances, while Vicario made a succession of fine saves to guarantee the London club went five away games unbeaten in the English top flight.
But the video assistant referee stepped in, instructing Craig Pawson to check the goal on the screen and the official ruled that Jack Grealish and the attacker were in an illegal position and had impeded 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.
Everton remain in 14th position and sit half a dozen points ahead of the drop zone.
Tottenham analysis: The defender excels in role at each end of pitch
Following a drab weekday performance in the Champions League against Monaco, where they managed a only two shots on target, Frank opted for Randal Kolo Muani in attack instead of ex-Everton forward the Brazilian.
The new arrival was unable to influence the game before being substituted for Richarlison after an hour on the field, but it turns out he proved unnecessary in the final outcome.
Centre-back the Dutchman transformed into an offensive threat to be reckoned with.
Tottenham's opening strike came from a cleverly executed corner routine, with the midfielder heading the ball toward the six-yard box for an unmarked the defender to head home.
And Ven de Ven - stepping up as captain in the Argentine's unavailability - notched his second in first-half stoppage time as he outjumped Jordan Pickford to head home.
The Dutchman was equally outstanding in defence, partnering well with Kevin Danso as the duo dealt superbly with the numerous deliveries thrown their way by Everton.
Toffees breakdown: Toffees lacking finishing touch
Everton's new home had been a fortress, but it appears the novelty may have faded somewhat and fans headed to the gates after Sarr's final goal for Spurs.
The end in the team's unbeaten home run will not be a massive worry for David Moyes, but their attacking woes are.
Beto and Thierno Barry - the Toffees' pair of recognised centre-forwards - had scored just a single goal combined before Sunday's outing.
And they were unable to add to that poor tally on a wet and gloomy evening on Merseyside.
Beto's performance was summed up when he chose to bicycle-kick a clear chance from near the goal, even with having space and opportunity to reposition for a simpler attempt that would have challenged Vicario.
The substitute, too, was unable 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 Spurs box.
What next for both teams?
Everton: The team head to the Stadium of Light in the top flight on Monday, 3 November at 8 PM.
Tottenham: Spurs go to St James' Park on late October for their next round Carabao Cup tie against the Magpies.