Micky van de Ven Double Ends Everton's Run at New Stadium
The Dutch defender emerged as the initial backline player to net twice in a English top-flight match for Tottenham since Jan Vertonghen in spring 2013.
Match summary
Micky Van de Ven heads home two times in first half
The home side's defender has goal disallowed after video check
Senegalese midfielder scores final goal in 89th minute
The defeat is the Merseyside club's initial at Hill Dickinson Stadium
The Tottenham defender found the net twice as Spurs prolonged their unbeaten run in away games in the Premier League and handed Everton their first defeat at Hill Dickinson Stadium.
The Toffees were unbeaten in their five previous fixtures at their recently opened stadium at the dockside location, having departed Goodison Park behind after more than a century at the end of last season.
But Spurs captain Van de Ven struck twice from set-pieces in the opening 45 minutes to put their impressive record at jeopardy, and they were unable to mount a comeback before the midfielder - set up by ex-Everton forward Richarlison - nodded in a third to seal the victory.
Jake O'Brien thought he had equalized the scores five minutes after Van de Ven's opener, glancing a powerful header past the Spurs keeper from an set-piece.
Beto, meanwhile, failed to convert a number of opportunities, while Vicario made a series of fine saves to ensure Tottenham went five matches on the road unbeaten in the Premier League.
But the video assistant referee stepped in, instructing the match official to check the score on the screen and the referee decided 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 up to third in the Premier League, a handful of points off north London rivals and leaders Arsenal.
The Merseyside club remain in 14th position and are six points ahead of the relegation zone.
Tottenham analysis: The defender excels in duties at each end of the field
Following a uninspiring midweek display in the European competition against Monaco, where they managed a only attempts on target, the manager chose the French striker in attack instead of ex-Everton forward the Brazilian.
The new arrival was failed to make much of an impact before being replaced for Richarlison after an hour on the field, but it turns out he proved unnecessary in the final outcome.
Defender the Dutchman transformed into an attacking force to be reckoned with.
Spurs' first goal came from a well-worked corner routine, with the midfielder heading the ball back across the six-yard box for an free Van de Ven to score.
And Ven de Ven - stepping up as skipper in Cristian Romero's absence - notched his next goal in first-half stoppage time as he rose above Jordan Pickford to head home.
The Dutchman was equally impressive in defence, combining effectively with Kevin Danso as the pair dealt excellently with the 34 crosses sent their way by the opposition.
Toffees breakdown: Everton lacking finishing touch
The club's recent stadium had been a fortress, but it seems the novelty may have worn off slightly and fans flocked to the exits after Sarr's third for Tottenham.
The end in Everton's winning streak at home will not be a major concern for David Moyes, but their attacking woes will be.
The forward and the other striker - the Everton's pair of recognised centre-forwards - had scored only one league goal combined before Sunday's match.
And they were failed to add to that miserable tally on a damp and dreary evening on in Liverpool.
The striker's form was epitomized when he chose to bicycle-kick a golden opportunity from close range, despite having space and time to readjust for a simpler attempt that would have tested the keeper.
Barry, as well, failed to make an impact after replacing the starter in the 65th minute.
It wasn't for a shortage of opportunity. Most of Everton's attacks came through Grealish and Ndiaye, who relentlessly delivered threatening crosses into the Tottenham box.
What next for both teams?
Everton: The team head to the Stadium of Light in the top flight on Monday, 3 November at 20:00 GMT.
Tottenham: Spurs travel to Newcastle's ground on Wednesday, 29 October for their next round League Cup match against Newcastle.