Micky van de Ven became the first defender to net two goals in a Premier League match for Tottenham since the Belgian defender in March 2013.
Key points
The Spurs defender nods into the net two times in first half
The home side's defender has equalizer disallowed after VAR review
Senegalese midfielder scores third in dying moments
This loss is the Merseyside club's initial at Hill Dickinson Stadium
Micky van de Ven scored twice as Tottenham prolonged their winning streak in away games in the top division and handed Everton their initial loss at Hill Dickinson Stadium.
The Toffees were unbeaten 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 last season.
But Spurs captain Van de Ven pounced on two occasions from set-pieces in the first half to put their strong form at jeopardy, and they were unable to mount a comeback before Pape Matar Sarr - assisted by former Toffees attacker Richarlison - nodded in a third to put the game to bed.
The Everton defender thought he had equalized the scores a short while after Van de Ven's opener, glancing a powerful header past Guglielmo Vicario from an Everton corner.
The Portuguese striker, in the meantime, missed a handful of opportunities, while Vicario made a succession of excellent stops to ensure Tottenham went five matches on the road unbeaten in the English top flight.
But the VAR stepped in, instructing the match official to check the score on the pitchside monitor and the referee decided that the winger and the attacker were in offside positions and had interfered with the Tottenham goalkeeper.
This victory elevates the manager's team into third place in the Premier League, five points off north London rivals and leaders Arsenal.
Everton remain in 14th position and are six points ahead of the drop zone.
After a drab midweek display in the Champions League against Monaco, where they managed a only two shots on goal, Frank chose Randal Kolo Muani in attack instead of former Toffees player the Brazilian.
The new arrival was failed to influence the game before being replaced for Richarlison after 60 minutes on the pitch, but it turns out he proved unnecessary in the end.
Centre-back Van de Ven transformed into an attacking force to be reckoned with.
Tottenham's first goal came from a cleverly executed set-piece play, with Rodrigo Bentancur heading the ball toward the six-yard box for an free Van de Ven to score.
And the captain - filling in as skipper in Cristian Romero's absence - notched his second in first-half stoppage time as he rose above Jordan Pickford to nod in.
The Dutchman was just as outstanding in defensive duties, combining well with his defensive colleague as the duo handled excellently with the numerous deliveries thrown their way by the opposition.
The club's recent stadium had been a happy hunting ground, but it seems the freshness may have worn off somewhat and fans flocked to the gates after Sarr's final goal for Tottenham.
The break in the team's winning streak at home will not be a major concern for the manager, but their attacking woes will be.
Beto and the other striker - the Everton's two established centre-forwards - had scored just a single goal between them before Sunday's match.
And they were unable to contribute to that poor record on a wet and gloomy evening on in Liverpool.
Beto's performance was epitomized when he opted to overhead kick a golden opportunity from near the goal, even with having space and time to reposition for a more conventional attempt that would have challenged the keeper.
Barry, too, failed to influence the game after coming on for the starter in the second half.
It was not for a lack of chance. Most of Everton's attacks came through the winger and Ndiaye, who relentlessly delivered dangerous crosses into the Tottenham penalty area.
Everton: The team travel to the Stadium of Light in the Premier League on Monday, 3 November at 8 PM.
Tottenham: The London club travel to Newcastle's ground on late October for their next round League Cup match against the Magpies.
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