Ravioli alla Bobbi

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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