Heat a large skillet over medium-high heat. Add oil; swirl to coat. Add onion and mushrooms; saute 5 minuttes or until tender. Add thyme and garlic; saute 1 minute.
Sprinkle the mushroom mixture evenly with the flour; cook 30 seconds, stirring constantly. Stir in broth and half-and-half; cook 2 minutes or until slightly thickened.
Add peas, 2 tablespoons cheese, rind, and next 3 ingredients (through pepper); cook 1 minute or until the peas are thoroughly heated
Cook pasta according to the package directions, omitting salt and fat. During the last 3 minutes of cooking, add the asparagus to the pan; drain. Add pasta mixture to the mushroom mixture; toss gently to coat.