Micky van de Ven Brace Ends Everton's Run at New Stadium
The Dutch defender emerged as the first defender to net twice in a Premier League game for Spurs since the Belgian defender in March 2013.
At a glance
The Spurs defender heads home twice in opening period
The home side's defender has equalizer ruled after video check
Pape Matar Sarr scores final goal in 89th minute
The defeat is the Merseyside club's initial at their new ground
Micky van de Ven scored on two occasions as Tottenham prolonged their winning streak in away games in the Premier League and handed the Toffees their first defeat at their new home.
The Toffees were unbeaten in their last five matches at their new ground at Bramley-Moore Dock, having left Goodison Park behind after more than a century at the end of last season.
But Spurs captain Van de Ven pounced on two occasions from set-pieces in the first half to place their strong form at risk, and they were unable to mount a comeback before the midfielder - set up by former Toffees attacker Richarlison - headed home a third to put the game to bed.
The Everton defender believed he had levelled the tally five minutes after Van de Ven's first goal, glancing a bullet header past the Spurs keeper from an set-piece.
Beto, in the meantime, missed a number of chances, while Vicario made a succession of fine stops to ensure Tottenham went five matches on the road unbeaten in the English top flight.
But the video assistant referee stepped in, advising Craig Pawson to review the goal on the screen and the referee decided that Jack Grealish and Iliman Ndiaye were in offside positions and had interfered with the Tottenham goalkeeper.
The win moves the manager's side into third place in the division, a handful of points off north London rivals and table-toppers the Gunners.
Everton stay 14th and are six points clear of the relegation zone.
Tottenham analysis: The defender fulfils duties at both ends of the field
Following a uninspiring weekday performance in the Champions League against Monaco, where they mustered a mere two shots on goal, the manager opted for the French striker in attack instead of former Toffees player Richarlison.
The new arrival was failed to influence the game before being replaced for Richarlison after an hour on the field, but it turns out he proved unnecessary in the end.
Centre-back Van de Ven converted into an attacking force to be feared.
Tottenham's first goal came from a cleverly executed set-piece play, with Rodrigo Bentancur directing the ball back across the six-yard box for an free Van de Ven to score.
And the captain - filling in as captain in the Argentine's unavailability - notched his second in first-half stoppage time as he rose above the England keeper to nod in.
Van de Ven was just as impressive in defence, combining effectively with his defensive colleague as the pair handled excellently with the 34 crosses sent their way by Everton.
Toffees breakdown: Toffees lacking finishing touch
Everton's recent stadium had been a fortress, but it seems the freshness may have faded slightly and supporters flocked to the exits after the midfielder's final goal for Tottenham.
The end in Everton's winning streak at home won't be a massive concern for David Moyes, but their attacking woes will be.
The forward and the other striker - the Everton's pair of recognised strikers - had scored just a single goal between them before the weekend's match.
And they were unable to add to that poor record on a wet and gloomy night on Merseyside.
Beto's performance was summed up when he chose to overhead kick a clear chance from close range, despite having space and opportunity to readjust for a simpler attempt that would have tested the keeper.
Barry, as well, was unable to make an impact after coming on for Beto in the 65th minute.
It was not for a lack of opportunity. The majority of Everton's offensive moves came through the winger and the forward, who tirelessly delivered threatening crosses into the Spurs penalty area.
What next for these two sides?
The Toffees: Moyes' men travel to the Stadium of Light in the Premier League on early November at 20:00 GMT.
Tottenham: The London club go to St James' Park on late October for their fourth-round League Cup tie against the Magpies.