Preheat your oven to 375°F (190°C).
Warm olive oil in a large skillet set over medium-high heat. Add the ground beef and cook until no longer pink, using a spoon to crumble the meat as it browns. Drain any extra fat as needed.
Incorporate the onion, both bell peppers, and sliced mushrooms into the skillet. Sauté for 5 to 6 minutes, stirring occasionally, until the vegetables are softened. Add minced garlic and cook for an additional minute.
Season the mixture with salt, pepper, and Worcestershire sauce. Pour in the beef broth and allow the contents to simmer for 2 to 3 minutes.
Reduce heat to low and stir in the cream cheese, blending until the mixture is smooth and fully integrated with the meat and vegetables.
Transfer the combined mixture into a greased 9×13-inch baking dish. Scatter the shredded mozzarella and provolone cheeses across the top, followed by a light sprinkle of oregano.
Place the dish uncovered in the oven and bake for 15 to 20 minutes, or until the cheese topping is melted and bubbling at the edges.
Top with fresh parsley if using, and serve immediately alongside crusty bread, over rice, or with your choice of side.