Preheat the oven to 350°F. Spray an 8x8-inch baking dish with non-stick cooking spray.
Bring a large pot of salted water to a boil. Cook the pasta until al dente, according to package directions. Drain and set aside. Return the cooking pot to the stovetop.
Set the heat to medium and add the butter. When the butter is melted, add the minced garlic and cook for 30 seconds. Whisk in the flour until incorporated. Gradually pour in the half-and-half, whisking continuously until smooth. Reduce the heat to low and stir in the Boursin cheese, whisking until fully melted.
Stir in the chopped kale, half of the feta cheese, half of the mozzarella cheese, salt, and black pepper, to taste. Add the cooked pasta, stirring gently to coat evenly with the sauce.
Pour the pasta mixture into the prepared baking dish. Sprinkle the top with the remaining feta cheese and mozzarella cheese.
Bake in the preheated oven for 15 minutes, or until the cheese is melted. Serve hot.