Follow these steps to create your Carrot Orecchiette:

1. Boil Water: In a large pot, bring salted water to a boil.
2. Cook Pasta: Add the orecchiette pasta and cook according to package directions until al dente.
3. Prepare Carrots: While pasta is cooking, heat the olive oil in a large skillet over medium heat.
4. Sauté Garlic: Add minced garlic and red pepper flakes to the skillet. Sauté for 1-2 minutes until fragrant.
5. Add Carrots: Stir in the grated carrots and cook for 5 minutes, stirring occasionally. They should soften but retain a bit of crunch.
6. Incorporate Broth: Pour the vegetable broth into the skillet. Stir to combine.
7. Add Peas: Add peas to the skillet and simmer for an additional 3-5 minutes.
8. Combine Pasta: Drain the orecchiette and add to the skillet. Toss until the pasta is well coated with the sauce and incorporated with the vegetables.
9. Season: Taste and adjust seasoning with salt and black pepper as needed.
10. Plate and Serve: Transfer to serving plates and top with grated Parmesan cheese and fresh basil leaves.

By following these steps, your Cooking adventure will lead you to the amazing flavors of Carrot Orecchiette!