Micky van de Ven Double Halts Everton's Run at New Stadium
The Dutch defender emerged as the first defender to net twice in a English top-flight game for Tottenham since Jan Vertonghen in March 2013.
Key points
Micky Van de Ven heads home twice in opening period
Everton's Jake O'Brien has goal disallowed after VAR review
Pape Matar Sarr scores final goal in dying moments
The defeat is Everton's first at their new ground
Micky van de Ven found the net on two occasions as Spurs prolonged their winning streak on the road in the top division and handed Everton their initial loss at their new home.
The Toffees were undefeated in their five previous fixtures at their recently opened stadium at Bramley-Moore Dock, having departed Goodison Park behind after 133 years at the conclusion of the previous campaign.
But Tottenham's leader the Dutchman struck on two occasions from corners in the first half to put their strong form at risk, and they were failed to turn it around before Pape Matar Sarr - assisted by former Toffees attacker Richarlison - headed home a third to put the game to bed.
Jake O'Brien thought he had equalized the tally a short while after Van de Ven's first goal, directing a bullet header past Guglielmo Vicario from an Everton corner.
Beto, meanwhile, missed a number of opportunities, while the Italian goalkeeper made a succession of fine stops to guarantee the London club went five matches on the road without defeat in the Premier League.
But the VAR intervened, advising Craig Pawson to check the goal on the pitchside monitor and the referee ruled that Jack Grealish and Iliman Ndiaye were in an illegal position and had impeded with the Tottenham goalkeeper.
This victory elevates the manager's team into third place in the Premier League, a handful of points off local foes and table-toppers Arsenal.
Everton stay in 14th position and sit half a dozen points ahead of the relegation zone.
Spurs breakdown: The defender excels in duties at each end of pitch
Following a drab midweek performance in the European competition against Monaco, where they managed a mere two shots on goal, Frank chose Randal Kolo Muani up front instead of ex-Everton forward the Brazilian.
The summer signing was failed to make much of an impact before being substituted for the substitute after 60 minutes on the pitch, but it turns out he wasn't needed in the end.
Defender the Dutchman converted into an offensive threat to be reckoned with.
Tottenham's first goal came from a cleverly executed corner routine, with the midfielder heading the ball back across the six-yard box for an unmarked Van de Ven to score.
And the captain - filling in as skipper in Cristian Romero's unavailability - notched his second in added time as he rose above the England keeper to nod in.
The Dutchman was just as outstanding in defensive duties, partnering well with Kevin Danso as the pair handled superbly with the 34 crosses thrown their way by Everton.
Toffees breakdown: Everton lacking finishing touch
The club's recent stadium had been a fortress, but it appears the novelty may have faded somewhat and fans headed to the gates after Sarr's third for Tottenham.
The end in Everton's unbeaten home run will not be a massive worry for the manager, but their attacking woes are.
The forward and Thierno Barry - the Toffees' pair of recognised centre-forwards - had scored only a single goal between them before the weekend's match.
And they were unable to contribute to that poor tally on a damp and dreary night on Merseyside.
The striker's performance was summed up when he opted to bicycle-kick a golden opportunity from near the goal, despite having space and time to reposition for a simpler attempt that would have tested the keeper.
Barry, as well, was unable to make an impact after replacing Beto in the second half.
It was not for a shortage of chance. Most of Everton's offensive moves came through Grealish and the forward, who relentlessly delivered threatening crosses into the Tottenham box.
Upcoming fixtures for these two sides?
The Toffees: Moyes' men travel to the Stadium of Light in the top flight on early November at 20:00 GMT.
Spurs: Spurs go to St James' Park on Wednesday, 29 October for their next round Carabao Cup match against Newcastle.