While giardiniera is traditionally a pickled Italian dish, chef Glenn Rolnick chooses to use it to describe his signature pasta dish that is a favorite at his New York City restaurant Carmine's. For a healthier version, skip the heavy cream and only use a ½ cup of cheese.
In a large sauté pan, heat the olive oil over medium-high heat. When the oil is hot, add the onions and garlic and cook, stirring, for about 2-3 minutes or until the onions turn golden brown.
Add the mushrooms, zucchini, basil, and parsley. Raise the heat to high and cook the mixture for 3-4 minutes or until the vegetables start to soften. Add the marinara sauce, chicken stock, and heavy cream. Bring the sauce to a boil over medium-high heat and boil it for 3-4 minutes or until it starts to thicken. Stir in ½ cup of the cheese and peas. Season the sauce to taste with salt and pepper.
Meanwhile, in a large pot of boiling salted water, cook the broccoli for 3-4 minutes or until it is al dente. Lift it from the water with a slotted spoon and add it to the sauce. Reserve the water in the pot to cook the pasta. Let the sauce sit, off the heat, for 10-15 minutes to flavor it with the vegetables.
Bring the water to a boil again, add the pasta, and cook it for 7-8 minutes. The cooking time will vary depending on the type of pasta. Drain the pasta well and transfer it to a shallow bowl or platter. Bring the sauce to a simmer. Immediately ladle it over the pasta and serve it with the remaining ½ cup of grated cheese on the side.