Etienne Esajas' superb 25-yard volley put Sheffield Wednesday in front after 15 minutes and Jermaine Johnson kept his cool inside the box before finishing well to double their lead four minutes later.
League Two side Rochdale never got to grips with the impressive Johnson and he capped a fine performance with his second goal five minutes after the break as the Owls booked their place in Wednesday's Carling Cup second-round draw.
"I thought some of the goals were excellent and I'm pleased with the clean sheet but the important thing was to get through to the next round," said Laws.
"Before the game kicked off I said it was important because financially it helps the club and it helps me so that I can strengthen and give me more finances to play with."
Laws revealed he is negotiations to bring an unnamed striker to Hillsborough on loan but is unsure if the deal will be concluded before the clash with Peterborough.
"I've spoken to a player who we're after. The manager and the football club have agreed a deal in principle, it is just a case of the player agreeing to come here," added Laws.
Rochdale manager Keith Hill admitted the sale of striker Adam Le Fondre to Rotherham prior to the match had not helped his side in their preparations.
"When you consider the obstacles we've had to overcome this week it is very difficult for the side look on the positive side of things," said Hill.
"It doesn't help the squad and we're very low on numbers. It's unfortunate we had to sell Adam but needs must and hopefully we will be given the opportunity to strengthen because we need to.
"We can't see the spirit of the squad get drained by off-the-field business."