Micky van de Ven Double Ends The Toffees' Run at New Home Ground
Micky van de Ven emerged as the initial defender to score two goals in a English top-flight match for Tottenham 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 nets final goal in 89th minute
The defeat is Everton's initial at their new ground
Micky van de Ven scored on two occasions as Tottenham extended their winning streak on the road in the top division and handed the Toffees their initial loss at their new home.
The Toffees were undefeated in their five previous fixtures at their recently opened stadium at the dockside location, having left their historic home behind after more than a century at the conclusion of last season.
But Spurs captain the Dutchman struck on two occasions from corners in the first half to place their strong form at risk, and they were failed to mount a comeback before Pape Matar Sarr - set up by ex-Everton forward the Brazilian - nodded in a final goal to put the game to bed.
Jake O'Brien believed he had equalized the scores five minutes after the defender's first goal, glancing a powerful header past Guglielmo Vicario from an set-piece.
Beto, in the meantime, failed to convert a number of chances, while the Italian goalkeeper made a series of fine stops to ensure the London club went five away games unbeaten in the English top flight.
But the video assistant referee intervened, instructing the match official to review the goal on the pitchside monitor and the official decided that the winger and the attacker were in offside positions and had interfered with the Tottenham goalkeeper.
The win elevates Thomas Frank's side into third place in the division, a handful of points off local foes and table-toppers Arsenal.
The Merseyside club stay in 14th position and sit half a dozen points clear of the drop zone.
Spurs breakdown: Van de Ven fulfils role at both ends of the field
After a drab weekday display in the Champions League against Monaco, where they mustered a only attempts on target, the manager chose Randal Kolo Muani in attack instead of ex-Everton forward the Brazilian.
The summer signing was unable to make much of an impact before being replaced for Richarlison after an hour on the field, but it emerged he wasn't needed in the end.
Defender Van de Ven converted into an offensive threat to be feared.
Tottenham's opening strike came from a well-worked set-piece play, with Rodrigo Bentancur directing the ball toward the face of goal for an free Van de Ven to head home.
And the captain - filling in as skipper in the Argentine's unavailability - added his next goal in first-half stoppage time as he rose above Jordan Pickford to head home.
Van de Ven was equally impressive in defensive duties, combining well with Kevin Danso as the duo dealt excellently with the 34 crosses sent their way by Everton.
Everton analysis: Toffees missing finishing touch
The club's new home had been a happy hunting ground, but it seems the novelty may have worn off somewhat and supporters flocked to the gates after Sarr's final goal for Tottenham.
The break in the team's unbeaten home run will not be a major worry for the manager, but their attacking woes will be.
Beto and the other striker - the Toffees' pair of recognised strikers - had scored just a single goal combined before Sunday's match.
And they were unable to contribute to that poor record on a damp and dreary night on in Liverpool.
Beto's form was epitomized when he chose to bicycle-kick a clear chance from near the goal, even with having space and time to reposition for a more conventional attempt that would have challenged Vicario.
Barry, too, failed to make an impact after replacing the starter in the second half.
It wasn't for a shortage of chance. The majority of Everton's offensive moves came through Grealish and the forward, who tirelessly delivered dangerous balls into the Tottenham penalty area.
What next for these two sides?
Everton: Moyes' men travel to Sunderland in the Premier League on early November at 20:00 GMT.
Tottenham: The London club go to Newcastle's ground on late October for their fourth-round League Cup tie against Newcastle.