Cook the Beef: In a large skillet over medium-high heat, add 1 tablespoon of oil. Add the sliced beef and cook until browned. Remove the beef from the skillet and set aside.
Sauté Vegetables: In the same skillet, add the remaining 1 tablespoon of oil. Add the sliced onion, bell peppers, and mushrooms. Cook until the vegetables are tender, about 5-7 minutes. Add the minced garlic and cook for an additional 1-2 minutes.
Combine Ingredients: Return the beef to the skillet with the vegetables. Stir in the dried oregano and basil, and season with salt and pepper. Mix well.
Add Cream: Reduce the heat to low and pour in the heavy cream. Stir until everything is well combined and heated through.
Transfer to Baking Dish: Transfer the beef and vegetable mixture to a baking dish.
Add Cheese: Sprinkle the shredded provolone and mozzarella cheese evenly over the top.
Bake: Place the baking dish in the preheated oven and bake for 15-20 minutes, or until the cheese is melted and bubbly.
Garnish and Serve: Garnish with fresh parsley if desired. Let the casserole cool for a few minutes before serving.