Wolves did open the scoring through Kenny Miller, who collected Mikkel Bischoff's pass and curled an excellent shot past Thomas Myhre.
Shortly before the hour mark Lawrence collected the ball on the edge of the box and fired into the corner, before Stephen Elliott fired in off the bar.
Wolves caretaker manager Stuart Gray said:
"Goals affect confidence and there was suddenly a bit of belief and the
performance was 100% better than last Saturday against Gillingham.
"Things have been a bit low, but our performance during the first half was very encouraging.
"In the second half, we gave the ball away a bit too cheaply and the goals
they scored we didn't put enough pressure on them."
Sunderland: Myhre, Wright, Breen, Caldwell, Danny Collins, Lawrence, Whitley, Robinson, Arca (Carter 90), Elliott (Brown 87), Stewart (Bridges 45).
Subs Not Used: Neill Collins, Alnwick.
Goals: Lawrence 57, Elliott 68, Lawrence 80.
Wolverhampton: Oakes, Lowe, Bischoff, Lescott, Kennedy,
Cooper (Sturridge 76), Cameron (Ince 83), Olofinjana, Newton,
Cort, Miller. Subs Not Used: Murray, Naylor, Craddock.
Booked: Olofinjana, Newton.
Goals: Miller 18.
Ref: A Leake (Lancashire).