The Blades showed their class with a performance of poise and patience, which was rewarded with two second-half strikes from Sharp - a tap-in and header - to put Wilder’s men on the same points as the league leaders.
It gave the Blades their first win at Ewood Park since 1986, and Sharp has now scored four in his last three outings.
After securing their third straight win, Wilder heaped praise on his captain, and his side’s ability to control the game.
Wilder said: “He (Sharp) is getting himself in the goals, his general all-round play is good, his link-up play is the best it’s been at this football club and he does what he does best, which is score. It’s great movement and it’s fantastic for the skipper to score two.
“We’ve had to work extremely hard, had to do a lot of good things right tonight. It’s a difficult place to come, they have a great home record.
“The skipper has got two and we’ve controlled a lot of the game but I thought the way we dealt with (Bradley) Dack and (danny) Graham is a really pleasing aspect of our game.
“It’s a tough place to come but we needed to keep playing the way we play. We talked at half-time about a little bit of quality around the final third. We got into some great positions first half without finding that last little bit, and we did in the second half.”