Van de Ven Double Halts The Toffees' Run at New Home Ground
The Dutch defender emerged as the initial backline player to net two goals in a English top-flight game for Spurs since the Belgian defender in spring 2013.
Match summary
The Spurs defender heads into the net twice in first half
Everton's Jake O'Brien has goal disallowed after video check
Senegalese midfielder scores final goal in dying moments
The defeat is the Merseyside club's first at their new ground
The Tottenham defender found the net twice as Spurs prolonged their unbeaten run on the road in the top division and delivered Everton their first defeat 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 end of the previous campaign.
But Spurs captain the Dutchman struck twice from set-pieces in the opening 45 minutes to place their impressive record at risk, and they were unable to mount a comeback before Pape Matar Sarr - assisted by former Toffees attacker Richarlison - headed home a final goal to seal the victory.
Jake O'Brien thought he had levelled the scores a short while after the defender's first goal, directing a bullet header past Guglielmo Vicario from an Everton corner.
Beto, meanwhile, missed a handful of chances, while Vicario made a series of fine saves to guarantee Tottenham went five away games unbeaten in the English top flight.
But the video assistant referee intervened, advising the match official to check the goal on the pitchside monitor and the referee decided that the winger and Iliman Ndiaye were in offside positions and had interfered with the Tottenham goalkeeper.
This victory elevates the manager's side up to third in the Premier League, five points off north London rivals and leaders Arsenal.
Everton remain 14th and are six points ahead of the relegation zone.
Tottenham analysis: Van de Ven fulfils role at each end of pitch
Following a uninspiring weekday display in the European competition against Monaco, where they managed a only attempts on target, the manager chose Randal Kolo Muani up front instead of former Toffees player Richarlison.
The new arrival was failed to influence the game before being replaced for the substitute after an hour on the field, but it turns out he wasn't needed in the end.
Defender the Dutchman transformed into an offensive threat to be feared.
Spurs' opening strike came from a cleverly executed set-piece play, with Rodrigo Bentancur directing the ball toward the six-yard box for an free the defender to head home.
And Ven de Ven - filling in as captain in the Argentine's unavailability - added his next goal in first-half stoppage time as he outjumped Jordan Pickford to head home.
The Dutchman was just as outstanding in defence, combining well with Kevin Danso as the duo dealt superbly with the numerous deliveries sent their way by the opposition.
Toffees breakdown: Toffees lacking striker's instinct
The club's new home had been a happy hunting ground, but it appears the freshness may have faded slightly and fans headed to the gates after Sarr's third for Tottenham.
The end in the team's unbeaten home run won't be a massive worry for the manager, but their striker situation are.
The forward and Thierno Barry - the Everton's two established centre-forwards - had netted only a single goal combined before Sunday's outing.
And they were failed to add to that miserable tally on a damp and dreary evening on Merseyside.
Beto's performance was epitomized when he opted to bicycle-kick a golden opportunity from near the goal, even with having room and time to reposition for a more conventional attempt that would have challenged Vicario.
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 chance. The majority of the home side's attacks came through Grealish and the forward, who tirelessly whipped dangerous balls into the Spurs box.
Upcoming fixtures for both teams?
Everton: Moyes' men travel to the Stadium of Light in the Premier League on early November at 8 PM.
Spurs: Spurs go to Newcastle's ground on Wednesday, 29 October for their next round Carabao Cup tie against the Magpies.