DO-AHEAD TIP: Cook pasta according to package directions.
In a medium saucepan, simmer pasta sauce until heated through; set aside and keep warm.
Heat the olive oil in a large skillet over medium-high heat. Add zucchini, yellow squash, onion and garlic; sauté until vegetables are tender-crisp then sprinkle with basil.
Spoon sauce, cheeses and zucchini mixture over the hot pasta and toss to coat well.