Start by placing the cherry tomatoes, feta block, and garlic into a baking dish. Drizzle olive oil over everything and sprinkle oregano on top. This simple base creates the rich, creamy sauce as it bakes.
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 soft and slightly golden. This step builds the core flavor of the recipe.
While the feta is baking, boil salted water and cook your pasta according to package instructions. Make sure not to overcook it, as it will later mix with the sauce. Drain and set aside.
Season the chicken breast and asparagus with olive oil, salt, and pepper. Grill them until the chicken is fully cooked and juicy, and the asparagus is tender with slight char marks.
Once the baking dish is out of the oven, mash the feta, garlic, and tomatoes together using a fork. This creates a creamy, slightly chunky sauce that coats the pasta beautifully.
Add the cooked pasta into the baking dish and mix well so every piece is coated in sauce. Slice the grilled chicken and add it along with asparagus, then toss everything gently.
Tear fresh basil leaves and sprinkle them over the pasta just before serving. This adds a fresh aroma and brightens the overall flavor of the dish.