The Dutch defender emerged as the initial backline player to net two goals in a Premier League match for Tottenham since Jan Vertonghen in spring 2013.
Key points
Micky Van de Ven heads into the net two times in first half
The home side's defender has equalizer disallowed after VAR review
Senegalese midfielder scores third in 89th minute
This loss is Everton's first at their new ground
The Tottenham defender scored on two occasions as Spurs extended their unbeaten run in away games in the top division and delivered Everton their initial loss at Hill Dickinson Stadium.
Everton were undefeated in their five previous fixtures at their recently opened stadium at the dockside location, having departed Goodison Park behind after 133 years at the end of the previous campaign.
But Tottenham's leader the Dutchman pounced twice from corners in the opening 45 minutes to put their strong form at risk, and they were unable to turn it around before the midfielder - assisted by ex-Everton forward the Brazilian - headed home a third to put the game to bed.
Jake O'Brien thought he had equalized the tally a short while after Van de Ven's first goal, directing a bullet header past Guglielmo Vicario from an Everton corner.
The Portuguese striker, meanwhile, failed to convert a handful of chances, while the Italian goalkeeper made a series of excellent stops 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 pitchside monitor and the referee decided that Jack Grealish and the attacker were in offside positions and had impeded with the Tottenham goalkeeper.
This victory moves the manager's side up to third in the Premier League, a handful of points off north London rivals and table-toppers the Gunners.
Everton stay 14th and are half a dozen points clear of the drop zone.
Following a drab weekday performance in the Champions League against the French side, where they mustered a only attempts on target, Frank chose Randal Kolo Muani in attack instead of ex-Everton forward Richarlison.
The new arrival was unable to influence the game before being replaced for the substitute after 60 minutes on the field, but it emerged he wasn't needed in the end.
Centre-back the Dutchman converted into an attacking force to be reckoned with.
Spurs' first goal came from a well-worked corner routine, with Rodrigo Bentancur directing the ball back across the six-yard box for an unmarked the defender to score.
And Ven de Ven - filling in as captain in Cristian Romero's absence - added his next goal in added time as he rose above the England keeper to nod in.
The Dutchman was just as impressive in defensive duties, combining well with Kevin Danso as the pair dealt excellently with the 34 crosses sent their way by Everton.
The club's new home had been a fortress, but it appears the novelty may have worn off somewhat and fans flocked to the exits after Sarr's final goal for Spurs.
The end in Everton's winning streak at home will not be a major concern for the manager, but their attacking woes will be.
The forward and the other striker - the Toffees' two established strikers - had scored just a single goal between them before Sunday's match.
And they were unable to add to that poor record on a wet and gloomy evening on in Liverpool.
Beto's performance was summed up when he chose to overhead kick a clear chance from close range, even with having space and time to readjust for a more conventional shot that would have tested the keeper.
Barry, as well, was unable to make an impact after coming on for Beto in the 65th minute.
It was not for a lack of chance. The majority of the home side's offensive moves came through Grealish and the forward, who tirelessly delivered threatening balls into the Spurs penalty area.
The Toffees: The team head to the Stadium of Light in the Premier League on early November at 20:00 GMT.
Spurs: The London club travel to St James' Park on late October for their fourth-round League Cup match against Newcastle.
Marcus is a seasoned sports analyst and betting strategist with over a decade of experience in the UK gambling industry.
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Robert Mclaughlin
Robert Mclaughlin
Robert Mclaughlin
Robert Mclaughlin
Robert Mclaughlin
Robert Mclaughlin