Preparation: Finely chop the broccoli to ensure even cooking. Gather and measure all ingredients before starting.
Combine Liquid Ingredients: In a large spouted measuring cup, mix the chicken broth, half and half, bouillon cube, hot sauce, and seasonings. Set aside.
Boil the Pasta: Bring a large pot of water to a rolling boil. Add salt (approximately ½ tablespoon kosher salt) and cook the pasta until al dente, stirring occasionally. Drain once done.
Make the Sauce Base: In a large, deep skillet over medium heat, melt the butter. Gradually whisk in the flour, cooking for 1-2 minutes until slightly golden.
Incorporate Liquids and Broccoli: Slowly pour in the prepared chicken broth mixture, whisking continuously to prevent lumps. Stir in the chopped broccoli. Bring the mixture to a boil, then reduce the heat to a simmer. Cover partially.
Combine Cheese and Pasta: Lower the heat to its lowest setting and stir in the shredded cheddar and Parmesan until fully melted and incorporated.
Finish the Dish: Add the drained pasta to the skillet and mix thoroughly to coat with the sauce. Allow the dish to sit for a few minutes, as the sauce will thicken further and adhere to the pasta.
Serve and Enjoy: Plate the pasta immediately and savor its rich, cheesy flavor.