Ravioli alla Bobbi

Name: Ravioli alla Bobbi
Ingredients: 18 ounces fresh cheese ravioli; 2 tablespoons salted butter; 3 cloves garlic, minced; 1 medium onion, finely diced; 2 cups broccoli florets, broken into small pieces; 8 ounces thin asparagus, cut into 1-inch pieces; Kosher salt and freshly ground black pepper; 1 cup low-sodium chicken broth; 1/2 cup heavy cream; 3/4 cup diced cooked ham; 1/4 cup grated Parmesan, plus more for serving; 2 tablespoons store-bought pesto; 1/2 cup halved cherry tomatoes; Handful of fresh basil leaves, torn, for serving