Start by cooking the pasta according to the package instructions in a large pot of salted boiling water. Once cooked, reserve ½ cup of pasta water, then drain the pasta and set aside.
In the same pot, heat the olive oil over medium heat. Add the minced garlic and sauté for about 1 minute until fragrant.
Add the sun-dried tomatoes, dried basil, and dried oregano to the pot. Cook for another 2 minutes, stirring occasionally.
In a blender or food processor, combine the coconut milk, nutritional yeast, salt, and black pepper. Blend until smooth and creamy.
Pour the creamy mixture into the pot with the sun-dried tomatoes and bring to a gentle simmer. If the sauce is too thick, add reserved pasta water little by little until you achieve the desired consistency.
Add the cooked pasta to the sauce and toss until well-coated. Cook for an additional 1-2 minutes to heat through.
Serve hot, garnished with fresh basil leaves.