Blackburn striker Ciccio Grabbi gave the home side the lead after half-an-hour and they doubled their lead midway through the second half through Ciaran Donnelly.
Jerome Watt made it 3-0 in injury time.
Aliou Cisse played for the first 45minutes in the centre of midfield for Blues in his first match action for over six months.
Keith Bertschins side will now be hoping to get their first points on the board in the fixture with Middlesbrough at Damson Park next Wednesday night.
Rovers: Yelldell, Greer, McEveley, Donnelly, Todd, Johansson, Gallagher, Harkins, Grabbi, Ostenstad, Morgan. Subs: Watt, Renton, Nelson, Taylor, Fitzgerald
BLUES: Doyle, Coly, Courtney, M. Johnson, Woodhouse, Hughes, Cisse, Carter, Kirovski, Figueroa, Morrison. Subs: Vaughan, Arrowsmith, Sadler, Alsop, Barrowman.