Rovers, playing for the first time since being taken over by Indian company Venky's, took the lead in stoppage time at the end of the opening period at Ewood Park thanks to Pedersen's delightful looping free-kick.
The Norwegian then struck again midway through the second half to wrap up a comfortable victory for Sam Allardyce's side.
Venkateshwara and Balaji Rao, the directors of Venky's, came on to the pitch to greet Blackburn's fans before kick-off and received warm applause.
Rovers snatched the lead just before the interval through a Pedersen free-kick, the midfielder curling a strike perfectly just over Brad Friedel and in.
The hosts appeared to be threatening another goal and in the 66th minute it duly arrived, Pedersen again providing the finish after getting his foot to Ryan Nelsen's drive following a scramble at a corner.