Tagliatelle with Squash

Name: Tagliatelle with Squash
Ingredients: 2 medium acorn squash, cut into eighths, seeds removed; Extra-virgin olive oil; Coarse salt and freshly ground pepper; 3 cloves garlic, skin-on, crushed; 1 large sprig fresh sage; 1 cup plus 2 tablespoons store-bought low-sodium vegetable stock; Pinch of garam masala; ¾ pound dried tagliatelle; 1 teaspoon chopped fresh chives; 1 teaspoon chopped fresh flat-leaf parsley; ¼ cup freshly grated Parmigiano Reggiano cheese, plus more for serving; 2 small Amaretti di Saronno cookies, crushed