Preheat your oven to 400°F and line a baking sheet with parchment paper.
Toss the broccoli florets and sliced zucchini with olive oil on the baking sheet and roast for 15-18 minutes until tender and slightly charred.
Bring a large pot of salted water to a boil and cook the chickpea pasta according to package directions until al dente.
In a small bowl, whisk together the non-fat Greek yogurt, egg whites, nutritional yeast, lemon juice, lemon zest, sea salt, black pepper, and red pepper flakes.
Mince the roasted garlic cloves and stir them into the yogurt mixture.
Drain the pasta, reserving 2 tablespoons of the cooking water, then return the pasta to the pot over very low heat.
Pour the yogurt mixture and reserved pasta water over the noodles, stirring constantly for 1-2 minutes until the sauce is silky and thickened without scrambling the egg whites.
Fold in the roasted broccoli and zucchini, then serve immediately while the sauce is warm and creamy.