Micky van de Ven Double Ends Everton's Run at New Stadium
Micky van de Ven became the first backline player to net two goals in a English top-flight match for Spurs since the Belgian defender in spring 2013.
At a glance
Micky Van de Ven nods home two times in first half
The home side's defender has goal ruled after VAR review
Pape Matar Sarr nets final goal in 89th minute
The defeat is Everton's initial at their new ground
The Tottenham defender scored on two occasions as Spurs 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 last five matches at their recently opened stadium at the dockside location, having departed Goodison Park behind after more than a century at the conclusion of the previous campaign.
But Spurs captain Van de Ven pounced on two occasions from corners in the opening 45 minutes to put their strong form at risk, and they were failed to turn it around before the midfielder - assisted by former Toffees attacker Richarlison - headed home a final goal to seal the victory.
The Everton defender believed he had levelled the scores five minutes after the defender's first goal, directing a powerful header past the Spurs keeper from an set-piece.
Beto, meanwhile, missed a number of chances, while Vicario made a succession of fine stops to ensure the London club went five matches on the road unbeaten in the Premier League.
But the video assistant referee intervened, advising the match official to check the score on the screen and the referee ruled that the winger and the attacker were in an illegal position and had interfered with the Tottenham goalkeeper.
The win elevates Thomas Frank's side into third place in the Premier League, a handful of points off north London rivals and leaders the Gunners.
Everton remain in 14th position and are six points ahead of the relegation zone.
Spurs breakdown: Van de Ven fulfils role at each end of the field
After a uninspiring weekday display in the European competition against Monaco, where they mustered a only attempts on target, the manager chose Randal Kolo Muani in attack instead of former Toffees player Richarlison.
The summer signing was unable to influence the game before being substituted for the substitute after an hour on the pitch, but it emerged he proved unnecessary in the final outcome.
Defender the Dutchman transformed into an offensive threat to be reckoned with.
Tottenham's opening strike came from a well-worked corner routine, with the midfielder directing the ball back across the six-yard box for an free the defender to head home.
And the captain - stepping up as captain in Cristian Romero's unavailability - notched his second in first-half stoppage time as he outjumped the England keeper to nod in.
The Dutchman was equally outstanding in defence, combining effectively with his defensive colleague as the pair handled excellently with the 34 crosses sent their way by the opposition.
Everton analysis: Toffees missing finishing touch
Everton's new home had been a happy hunting ground, but it appears the freshness may have worn off somewhat and supporters headed to the gates after Sarr's third for Spurs.
The break in Everton's winning streak at home won't be a major worry for David Moyes, but their striker situation will be.
Beto and the other striker - the Everton's pair of established centre-forwards - had netted only one league goal between them before the weekend's match.
And they were unable to add to that miserable tally on a damp and dreary evening on Merseyside.
The striker's form was summed up when he opted to overhead kick a golden opportunity from close range, despite having room and opportunity to readjust for a more conventional attempt that would have tested the keeper.
Barry, too, failed to influence the game after replacing the starter in the 65th minute.
It wasn't for a lack of chance. The majority of the home side's attacks came through the winger and the forward, who tirelessly delivered dangerous crosses into the Spurs box.
Upcoming fixtures for these two sides?
The Toffees: The team travel to Sunderland in the Premier League on early November at 20:00 GMT.
Tottenham: Spurs go to Newcastle's ground on late October for their fourth-round League Cup tie against Newcastle.