Reading were, in the end, worthy of pulling off another cup shock, having weathered a decent spell from the visitors midway through the second half to finish strongly.
The Clarets next face their former manager Owen Coyle at Bolton, and then host title chasers Chelsea.
"We defended a lot better as a team, and those are the building blocks which we have to keep going, to be more solid in our next game," said Laws.
"We have got some positives to take with players coming back and that quality will help make us a better team.
"There is a lot of hard work ahead, but we knew that from the start.
"The one thing the players will do is to keep pushing on and are determined to turn it around."
Laws added: "We have got a big week ahead of us, and I want to get a win under my belt as quickly as possible."