The Dutch defender emerged as the first backline player to net two goals in a English top-flight match for Tottenham since the Belgian defender in March 2013.
Key points
The Spurs defender nods home twice in opening period
The home side's Jake O'Brien has goal ruled after VAR review
Pape Matar Sarr nets final goal in dying moments
This loss is Everton's initial at Hill Dickinson Stadium
Micky van de Ven scored twice as Spurs prolonged their winning streak in away games in the top division and delivered Everton their initial loss at Hill Dickinson Stadium.
The Toffees were unbeaten in their last five matches at their new ground at the dockside location, having left their historic home behind after 133 years at the end of last season.
But Tottenham's leader Van de Ven struck on two occasions from set-pieces in the opening 45 minutes to put their strong form at risk, and they were failed to turn it around before Pape Matar Sarr - assisted by ex-Everton forward Richarlison - headed home a third to seal the victory.
The Everton defender believed he had levelled the tally five minutes after the defender's first goal, glancing a powerful header past Guglielmo Vicario from an Everton corner.
Beto, in the meantime, failed to convert a number of opportunities, while Vicario made a series of fine saves to guarantee Tottenham went five away games without defeat in the Premier League.
But the video assistant referee stepped in, instructing Craig Pawson to check the goal on the pitchside monitor and the official decided that Jack Grealish and the attacker were in an illegal position and had impeded with the Tottenham goalkeeper.
This victory moves Thomas Frank's team into third place in the Premier League, five points off north London rivals and table-toppers the Gunners.
The Merseyside club remain 14th and sit six points clear of the drop zone.
Following a uninspiring midweek performance in the Champions League against Monaco, where they managed a mere two shots on goal, the manager chose Randal Kolo Muani in attack instead of ex-Everton forward Richarlison.
The new arrival was failed to make much of an impact before being substituted for Richarlison after 60 minutes on the field, but it emerged he wasn't needed in the final outcome.
Defender the Dutchman transformed into an offensive threat to be reckoned with.
Tottenham's first goal came from a well-worked set-piece play, with the midfielder directing the ball toward the face of goal for an free Van de Ven to score.
And Ven de Ven - stepping up as captain in the Argentine's unavailability - added his second in first-half stoppage time as he rose above Jordan Pickford to nod in.
Van de Ven was equally outstanding in defensive duties, combining effectively with his defensive colleague as the pair handled superbly with the 34 crosses sent their way by Everton.
The club's new home had been a happy hunting ground, but it seems the freshness may have worn off somewhat and supporters headed to the gates after the midfielder's final goal for Spurs.
The break in the team's winning streak at home will not be a major concern for David Moyes, but their striker situation will be.
Beto and the other striker - the Toffees' two established centre-forwards - had netted just a single goal between them before Sunday's match.
And they were failed to contribute to that poor tally on a wet and gloomy evening on Merseyside.
Beto's performance was summed up when he chose to bicycle-kick a golden opportunity from near the goal, even with having space and time to reposition for a simpler attempt that would have tested the keeper.
The substitute, as well, failed to influence the game after coming on for the starter in the 65th minute.
It was not for a shortage of chance. Most of Everton's attacks came through the winger and Ndiaye, who tirelessly whipped dangerous crosses into the Tottenham penalty area.
Everton: The team travel to the Stadium of Light in the top flight on early November at 20:00 GMT.
Spurs: The London club go to Newcastle's ground on late October for their next round Carabao Cup tie against Newcastle.
Elara is a wellness coach and writer passionate about helping others find balance through mindful practices and self-discovery.
Timothy Barber
Timothy Barber
Timothy Barber
Timothy Barber
Timothy Barber
Timothy Barber