A very simple, easy and cheap recipe is "The Golden Mushroom Burger".
Brown 1 lb. of ground beef and drain. Next take one box of dried soup mix (I use onion or mushroom, whatever is on sale) add 1 pack of soup mix and 1 to 1 1/2 cups of water to meat mixture, season to your taste. Let this cook down on med. I serve mine on hamburger buns or open face. My family loves these and they are really quick and easy.
Your recipe for the burgers sound very good, I also make a mushroom burger , using golden mushroom soup ( a bit pricey) adding bread crumbs and egg with the ground beef, forming in oval patties and browning them, the put in a casserole dish and bake for 20 minutes and then adding remainder of g mushroom soup /water and pouring over burgers and bake an additional 20 minutes, this is very good as it forms a gravy for rice/or potatoes or noodles.