The under-fire England winger smashed home in the second half before the skipper made it two with a curling effort to book a place in the last four of the Capital One Cup
The England winger has lost his way at Old Trafford, but he produced a moment of quality in the second half on Wednesday to put United in front and end a goal drought that stretched to May 2012.
Patrice Evra made sure of the win with a lovely right-foot finish to enhance David Moyes' chances of winning a trophy in his first season at United.
|VIEW FROM THE BRITANNIA STADIUM
|By Alan Bond
Second-half goals from Ashley Young and captain Patrice Evra were enough on a cold evening at the Britannia Stadium - in which the severe weather caused a halt to the game midway through the first half.
Indeed, Young had the only clear-cut chance in the first half firing into the side netting after good work from Anderson and Welbeck. Stoke looked a threat after the break from wide areas but it was United who got the breakthrough.
Young's sharp one-two with substitute Hernandez led to the winger meeting the ball outside the area and crashing it like a rocket past Sorensen. Ten minutes later the game was over.
A great interchange down the left saw Patrice Evra find himself in the Stoke area before expertly curling a right-footed shot away from the Stoke keeper.
David Moyes will be delighted with his side's ability to beat a tough Stoke side who were well up for this game, but United, who many have written off thus far, are now just one game away from a cup final.
Stoke beat United en route to winning this competition in 1972, but their wait for a second major trophy continues and the Staffordshire club have now lost 12 of their last 13 games against United.
United were without Wayne Rooney due to injury but Moyes is hopeful he will return in the near future. Adnan Januzaj and Ryan Giggs were left out as Chris Smalling, Anderson and Young started.
Thomas Sorensen, Erik Pieters, Jonathan Walters and Wilson Palacios came into the Stoke starting line-up.
Strong winds and driving rain ensured it would not be an evening for the faint hearted. Stoke were almost caught cold after only two minutes, but Young could only find the side-netting with a right-foot strike from the right side of the penalty area.
The weather deteriorated so badly that Clattenburg halted the game after 28 minutes amid a hailstorm and swirling winds.
Clattenburg led the players back out just under 10 minutes later, but the quality of football was no better as both sides struggled to retain possession.
Geoff Cameron produced a rare moment of quality just before half-time when he swung in a dangerous cross from the right, but the ball skimmed off the top of Walters' head and away to safety.
Jonny Evans then failed to react quickly enough when the ball fell into his path in the penalty area and Sorensen gathered.
Moyes replaced Anderson with Javier Hernandez 11 minutes into the second half with no sign of a breakthrough.
And Hernandez was involved in the opening goal six minutes later as Young played the ball into the Mexican and his touch fell nicely into the path of the onrushing winger, who lashed a vicious right-foot drive beyond Sorensen from just outside the area.
Young was brimming with confidence and the former Watford and Aston Villa man embarked on a run towards the area before getting his finish all wrong.
Pieters then whipped an inviting ball in but Walters somehow failed to get a touch before the Republic of Ireland striker's long-range strike was tipped over by David de Gea.
And Evra ended any hopes of a Stoke comeback 13 minutes from time when he burst into the box and curled a measured right-foot finish into the far corner.