Micky van de Ven Brace Ends The Toffees' Run at New Stadium
The Dutch defender became the initial defender to net two goals in a Premier League match for Spurs since Jan Vertonghen in March 2013.
Match summary
Micky Van de Ven heads into the net twice in opening period
The home side's defender has goal disallowed after video check
Senegalese midfielder nets third in dying moments
This loss is the Merseyside club's first at their new ground
Micky van de Ven scored on two occasions as Tottenham prolonged their unbeaten run on the road in the Premier League and delivered Everton their first defeat 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 133 years at the conclusion of last season.
But Tottenham's leader the Dutchman pounced twice from corners in the first half to put 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 seal the victory.
Jake O'Brien believed he had equalized the tally five minutes after Van de Ven's first goal, glancing a bullet header past Guglielmo Vicario from an set-piece.
Beto, meanwhile, missed a handful of chances, while the Italian goalkeeper made a succession of fine saves to guarantee the London club went five matches on the road unbeaten in the English top flight.
But the VAR stepped in, advising Craig Pawson to check the score 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.
This victory moves the manager's team into third place in the Premier League, a handful of points off north London rivals and leaders Arsenal.
Everton remain in 14th position and sit six points ahead of the relegation zone.
Tottenham analysis: Van de Ven fulfils role at each end of pitch
Following a uninspiring midweek display in the European competition against Monaco, where they mustered a only attempts on goal, Frank chose Randal Kolo Muani in attack instead of former Toffees player the Brazilian.
The summer signing was unable to make much of an impact before being replaced for the substitute after an hour on the pitch, but it turns out he proved unnecessary in the end.
Centre-back the Dutchman transformed into an attacking force to be reckoned with.
Spurs' opening strike came from a well-worked set-piece play, with Rodrigo Bentancur directing the ball toward the six-yard box for an free the defender to head home.
And the captain - filling in as skipper in Cristian Romero's absence - added his next goal in first-half stoppage time as he outjumped the England keeper to nod in.
The Dutchman was equally outstanding in defence, partnering well with his defensive colleague as the duo dealt excellently with the 34 crosses sent their way by Everton.
Toffees breakdown: Toffees lacking striker's instinct
The club's new home had been a fortress, but it seems the freshness may have worn off slightly and supporters flocked to the gates after Sarr's third for Tottenham.
The end in the team's winning streak at home will not be a major worry for David Moyes, but their attacking woes will be.
Beto and the other striker - the Toffees' pair of recognised strikers - had netted just one league goal combined before Sunday's match.
And they were unable to contribute to that miserable tally on a wet and gloomy night on in Liverpool.
Beto's form was summed up when he opted to bicycle-kick a clear chance from near the goal, despite having room and opportunity to reposition for a simpler attempt that would have tested Vicario.
Barry, as well, failed to influence the game after replacing the starter in the 65th minute.
It wasn't for a lack of chance. Most of Everton's attacks came through the winger and the forward, who relentlessly whipped dangerous crosses into the Spurs box.
What next for these two sides?
Everton: Moyes' men travel to the Stadium of Light in the Premier League on Monday, 3 November at 20:00 GMT.
Spurs: The London club travel to St James' Park on late October for their fourth-round Carabao Cup tie against Newcastle.