Allow dough to rise until nearly doubled. Meanwhile, in a skillet over medium heat, cook and crumble sausage. Add mushrooms and onion. Cook and stir until the sausage is browned and vegetables are tender; drain. cool. Beat 1 egg; set aside. To sausage mixture, add 2 eggs, cheese and seasonings; mix well. Roll each loaf of dough into a 16x12" rectangle. Spread half the sausage mixture on each loaf to within 1" of edges. Roll jelly-roll style, starting at a narrow end; seal edges. Place on a greased baking sheet. Bake at 350 degrees for 25 minutes; brush with beaten loaves