In a bowl, whisk flour, chicken broth, milk, salt and pepper together. Set aside.
In a large skillet, heat olive oil over medium heat. Add in sliced mushrooms, sauté for 6 minutes. Add minced garlic, sauté for 1 minute until fragrant.
Whisk the flour mixture into the mushrooms and garlic. Bring to a simmer and cook for 3-4 minutes until thickened.
Add shredded cheese, stir until cheese has melted. Mix in spinach, allow to wilt.
Add cooked pasta to skillet, toss to coat. Serves 4.