Van de Ven Double Halts The Toffees' Run at New Stadium
The Dutch defender emerged as the initial backline player to score two goals in a English top-flight game for Spurs since the Belgian defender in spring 2013.
At a glance
The Spurs defender heads into the net two times in opening period
Everton's defender has equalizer disallowed after VAR review
Pape Matar Sarr scores third in dying moments
This loss is Everton's initial at their new ground
The Tottenham defender found the net on two occasions as Tottenham prolonged their winning streak in away games in the top division and delivered the Toffees their initial loss at their new home.
Everton were undefeated in their last five matches at their recently opened stadium at the dockside location, having left Goodison Park behind after more than a century at the conclusion of the previous campaign.
But Tottenham's leader Van de Ven pounced twice from corners in the first half to place their strong form at risk, and they were failed to turn it around before Pape Matar Sarr - assisted by former Toffees attacker the Brazilian - nodded in a final goal to put the game to bed.
The Everton defender believed he had equalized the scores a short while after Van de Ven's opener, directing a bullet header past Guglielmo Vicario from an Everton corner.
The Portuguese striker, meanwhile, failed to convert a number of opportunities, while the Italian goalkeeper made a series of fine stops to ensure the London club went five away games without defeat in the Premier League.
But the video assistant referee stepped in, instructing Craig Pawson to review the score on the pitchside monitor and the referee ruled that the winger and the attacker were in an illegal position and had interfered with the Spurs keeper.
This victory elevates the manager's team into third place in the division, a handful of points off north London rivals and table-toppers the Gunners.
Everton stay in 14th position and sit six points ahead of the drop zone.
Tottenham analysis: The defender excels in duties at both ends of the field
After a uninspiring midweek 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 ex-Everton forward Richarlison.
The summer signing was failed to influence the game before being replaced for the substitute after an hour on the pitch, but it emerged he proved unnecessary in the end.
Defender Van de Ven converted into an offensive threat to be feared.
Spurs' opening strike came from a well-worked set-piece play, with Rodrigo Bentancur heading the ball back across the face of goal for an unmarked Van de Ven to score.
And the captain - stepping up 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 outstanding in defensive duties, combining effectively with Kevin Danso as the pair handled superbly with the 34 crosses sent their way by the opposition.
Toffees breakdown: Toffees lacking striker's instinct
Everton's recent stadium had been a happy hunting ground, but it seems the novelty may have worn off slightly and fans flocked to the gates after the midfielder's final goal for Tottenham.
The break in Everton's unbeaten home run won't be a major worry for the manager, but their attacking woes will be.
Beto and Thierno Barry - the Toffees' pair of recognised centre-forwards - had scored just one league goal between them before the weekend's match.
And they were failed to add to that poor tally on a wet and gloomy evening on in Liverpool.
Beto's form was epitomized when he chose to bicycle-kick a clear chance from near the goal, despite having space and opportunity to readjust for a more conventional attempt that would have challenged Vicario.
Barry, as well, failed to make an impact after coming on for the starter in the 65th minute.
It was not for a lack of opportunity. The majority of the home side's attacks came through Grealish and Ndiaye, who relentlessly whipped threatening balls into the Tottenham box.
Upcoming fixtures for both teams?
The Toffees: The team travel to Sunderland in the Premier League on Monday, 3 November at 20:00 GMT.
Spurs: The London club go to St James' Park on late October for their next round League Cup tie against Newcastle.