Our dogs like to look out the screen door but they also like to stand up against it and bark. I know they make these for RV doors, but I was worried that they were going to push the screen out and go on a walkabout. So, I installed a hinged mesh protector for them.
I started out by buying a screen door protector and then cut the posts of all four corners. I then installed two hinges onto the door casing, and then used pop rivets to secure the mesh to the hinges. I'm using super earth magnets on the frame to hold it closed, and then used 2 more on the adjacent dinette wall to hold it open when not needed.
Here are a few pics: