Start by placing cherry tomatoes, feta cheese, and garlic into a baking dish. Drizzle olive oil over everything and sprinkle oregano on top. This combination creates the base of your creamy sauce.
Preheat your oven to 375°F (190°C) and bake the dish for about 45 minutes. The tomatoes will soften and burst while the feta becomes creamy. This process builds a rich, flavorful sauce.
While the feta is baking, boil your pasta in salted water according to package instructions. Make sure not to overcook it, as it will mix with the sauce later. Drain and set aside.
Season the chicken and asparagus with olive oil, salt, and pepper. Grill them until the chicken is fully cooked and juicy. Slice the chicken into bite-sized pieces for easy mixing.
Once baked, remove the dish from the oven and mash the feta, garlic, and tomatoes together using a fork. This creates a smooth, creamy sauce that coats the pasta beautifully.
Add the cooked pasta into the baking dish and mix well to coat it with the sauce. Stir in fresh basil, then top with grilled chicken and asparagus. Serve immediately while warm.