Not 100 % necessary, but a good best practice to this method would be to use
some construction adhesive in addition to the drywall screws to old the 1 x 2
strapping in place
"Steve Barker" wrote:

Span the holes on the inside with a couple of 1x2's screwing them to the
existing wall. Then cut a panel to fit the hole and screw it to the 1x2's.