You could also roll out chicken wire fencing across the newly planted beds.
I use small pieces of cattle panel fencing and lay over the raised beds. I have also used that grid pattern for planting in the beds.
When I set out smaller plants, I also have some egg gathering baskets and wire hanging baskets that I will turn upside down over the newly planted herbs and vegies. That offers temporary protection.
I've found that when things begin to grow, the cats do not dig in the beds any longer.
