United were cruelly denied a deserved share of the spoils, by a last-gasp goal at Bramall Lane on Tuesday evening.
Robert Snodgrass settled the contest in the final minute, which was harsh on the Blades, who had the better chances throughout much of the contest, with Jack O'Connell hitting the woodwork early on.
For the televised clash against Villa, Wilder reverted back to the team that won at Norwich, with Leonard and Evans making their home debuts in the Blades engine room. Donaldson, who scored twice in the corresponding fixture, was named amongst the substitutes, along with Holmes.
The Blades were characteristically quick out of the blocks and came so close to opening the scoring in the sixth minute, with O'Connell rattling the crossbar with a header from Evans's pinpoint corner. With the Blades still on top, Clarke then tested Johnstone, but Chester had already taken the sting out of the effort.
Villa threatened on the break, but Johnstone continued to be tested, with Baldock stinging his palms following a swift counter led by Fleck. The chances dried up as the half hour came and went, but the tackles continued to fly in from both teams.
In the 41st minute, Wilson almost sent Bramall Lane into waves of delight, but a superb acrobatic effort went inches wide after Clarke had nodded Baldock's cross back into the six-yard box. The Manchester United loanee was then booked, harshly, for a nudge on Hutton.
At the start of the second-half, Basham was carded for a foul on Adomah. Villa were enjoying their best spell of the game and Grealish thought he had bent home the opener, but the ball went narrowly wide of the far post.
United, having forced a flurry of corners, had a first attempt of the second period with an advanced Baldock having a shot tipped over by Johnstone. With 23 minutes left, Donaldson and Lundstram took the places of Wilson and Leonard.
Wilder made his final change by introducing Holmes for his United debut, with Evans the man to make way. Snodgrass tried to claim an injury having lost possession and Fleck draw another smart save from Johnstone.
In the 90th minute, the Blades were dealt the cruellest of blows, as Villa took the lead. The ball was worked out to SNODGRASS, who cut inside Stevens and bent an effort into the far bottom corner.
Four minutes of injury-time were signalled, but the Blades were unable to find a goal their endeavours deserved, despite having a couple of last-gasp corners.
Blades: Moore, Baldock, Stevens, Fleck, O'Connell, Basham, Clarke, Wilson (Donaldson 67), Leonard (Lundstram 67), Stearman, Evans (Holmes 74).
Unused: Sharp, Duffy, Lafferty, Eastwood.
Villa: Johnstone, Chester, Snodgrass, Hogan (Davis 81), Grealish, Hourihane (Onomah 76), Bjarnason, Hutton, Terry, Elmohamady, Adomah (Jedinak 86).
Unused: Taylor, Whelan, Tuanzebe, Bunn.