Butternut Squash without juice broth

1 small butternut squash, halved length-wise and seeded (about 1 1/2 pounds) 1 1/2 cups whole milk 4 large egg whites 2 large eggs 1/4 cup maple syrup 3[...]

3 ounces shiitake mushrooms , dried and sliced 4 cups water 4 cups butternut squash, cubed 2 tablespoons olive oil 1 tablespoon maple syrup (optional) 4 cups[...]