Micky van de Ven Double Ends Everton's Run at New Stadium
The Dutch defender became the first backline player to net two goals in a Premier League game for Spurs since the Belgian defender in March 2013.
Match summary
The Spurs defender heads into the net two times in opening period
The home side's defender has equalizer ruled after VAR review
Senegalese midfielder scores third in 89th minute
This loss is Everton's first at their new ground
The Tottenham defender found the net twice as Tottenham extended their unbeaten run in away games in the Premier League and delivered Everton their initial loss at Hill Dickinson Stadium.
Everton were undefeated in their last five matches at their recently opened stadium at the dockside location, having departed Goodison Park behind after 133 years at the conclusion of last season.
But Tottenham's leader the Dutchman struck on two occasions from corners in the first half to place their impressive record at risk, and they were failed to mount a comeback before the midfielder - set up by former Toffees attacker the Brazilian - headed home a third to put the game to bed.
The Everton defender believed he had levelled the tally five minutes after the defender's opener, directing a powerful header past the Spurs keeper from an set-piece.
The Portuguese striker, meanwhile, failed to convert a handful of chances, while the Italian goalkeeper made a succession of excellent stops to guarantee the London club went five matches on the road without defeat in the English top flight.
But the VAR stepped in, instructing the match official to review the goal on the pitchside monitor and the referee ruled that Jack Grealish and Iliman Ndiaye were in an illegal position and had interfered with the Tottenham goalkeeper.
This victory elevates Thomas Frank's team into third place in the division, five points off north London rivals and table-toppers the Gunners.
Everton stay in 14th position and sit half a dozen points ahead of the relegation zone.
Spurs breakdown: Van de Ven fulfils duties at each end of the field
After a uninspiring weekday performance in the Champions League against the French side, where they managed a mere two shots on target, the manager chose the French striker in attack instead of ex-Everton forward Richarlison.
The summer signing was failed to influence the game before being substituted for Richarlison after 60 minutes on the field, but it turns out he proved unnecessary in the final outcome.
Centre-back Van de Ven transformed into an attacking force to be reckoned with.
Tottenham's opening strike came from a well-worked set-piece play, with the midfielder directing the ball back across the face of goal for an free the defender to head home.
And the captain - stepping up as skipper in the Argentine's unavailability - notched his next goal in first-half stoppage time as he outjumped Jordan Pickford to nod in.
The Dutchman was just as impressive in defensive duties, combining well with his defensive colleague as the pair handled excellently with the 34 crosses thrown their way by Everton.
Everton analysis: Everton missing finishing touch
The club's new home had been a fortress, but it seems the novelty may have faded slightly and supporters flocked to the exits after Sarr's third for Spurs.
The end in Everton's unbeaten home run will not be a massive concern for David Moyes, but their striker situation will be.
The forward and the other striker - the Everton's two recognised strikers - had netted just a single goal combined before Sunday's outing.
And they were failed to contribute to that poor tally on a damp and dreary night on in Liverpool.
Beto's form was summed up when he opted to overhead kick a golden opportunity from close range, even with having room and time to readjust for a simpler attempt that would have challenged Vicario.
The substitute, too, was unable to influence the game after coming on for Beto in the 65th minute.
It wasn't for a lack of opportunity. Most of the home side's offensive moves came through Grealish and the forward, who tirelessly whipped dangerous crosses into the Tottenham box.
What next for both teams?
Everton: The team head to the Stadium of Light in the Premier League on early November at 8 PM.
Spurs: Spurs go to Newcastle's ground on late October for their fourth-round League Cup match against Newcastle.