Two goals in two minutes proved too much for Sunderland as they attempted to gain their first win of the season at the Academy.
They were up against a solid Everton side well coached by ex-player Kevin Sheedy and although the Youths kept going, they never really threatened.
In the opening period, Sunderland's Jack Diamond cut in from the right but his left-footed shot was easily saved and there was a similar outcome from Chris Allan's effort minutes later.
Striker Lee Connelly did have the ball in the Everton net following a good move but was ruled offside.
Play switched to the other end where tall striker Fraser Hornby tried to steer a pass into the far corner but Brandon Taylor got in a superb block.
The same player, who was dangerous throughout, then saw his header hit the post with Anthony Patterson in the Sunderland goal stranded.
But the pressure did finally pay off in the 36th minute when Hornby played in Jack Kiersey to open the scoring.
Two minutes later, outstanding right winger Dan Bramhall switched to the left and cut inside to drive low just inside the near post to double the advantage.
It was a powerful burst by the visitors and one that proved to be decisive.
Only a last-ditch tackle by Taylor prevented further agony from being piled on seconds later as the Toffees took over.
To Sunderland's great credit heads did not drop and in the second half they held their own against an accomplished outfit.
Lee Connelly went close with a shot that drifted just wide but Patterson had to save well with an outstretched leg to prevent the third as Lavery closed in.
However, the keeper was nearly caught off his line as Hornby's long range shot was narrowly wide.
Although the Youths huffed and puffed, they never created one clear cut chance as the points deservedly went to the better side.
Coach Elliott Dickman said after the game: "We tried something different with three at the back and two wing backs but to no avail. In the second half we showed a lot of character and kept persevering but were never really dangerous."
Sunderland: Patterson, Hickey (McAughtrie 46, [Kimpioka 56]), Krusnell, Young, Taylor, Storey, Diamond, Hackett, Connelly, Allan, Best.
Subs not used: Woud, Howard, Leonard.
Everton: Renshaw, Morris, Moore, Collins, Lees, Denny, Bramhall, Kiersey, Lavery, Hornby, Mampala (Ball 73).