Rovers, playing for the first time since being taken over by Indian company Venky's, beat Villa 2-0 at Ewood Park thanks to goals in either half from Morten Gamst Pedersen.
They were watched by Venkateshwara and Balaji Rao, the directors of Venky's, who came on to the pitch to greet the home supporters before kick-off.
"I've met the new owners for the third time, only briefly," Allardyce said. "I think it was fair to say they were well entertained here by the match against Chelsea, when they came here for the first time before they had actually clinched the deal.
"Last week they watched the Tottenham game and we were well beaten in the end, but now they have seen us win for the first time.
"Hopefully, like every Blackburn fan, the players and myself, they will be very happy with the way we have won and the performance that was given. I hope the next time we get to meet, which I am looking forward to, we can plan the way forward from here on in."
Source: PA
Source: PA