Sauté onions in oil over medium heat until golden brown, about 5 minutes.

In a large bowl, combine half of the sautéed onions, ground beef, ground turkey, bread crumbs, egg, egg white, 0.25 cup beef broth, salt and black pepper. Shape into 8 oval patties.

In a large skillet over medium-high heat, brown both sides of patties, about 4-5 minutes per side. Set aside.

Add mushrooms to the skillet, season with salt and pepper, and sauté 2-3 minutes.

Return patties to the skillet with mushrooms.

In a small bowl, blend flour and remaining broth until smooth. Mix in remaining onions, tomato paste, vinegar, water, Worcestershire sauce, and mustard powder. Pour over meat and mushrooms.

Cover and cook on low heat for 20 minutes, stirring occasionally.