Butternut Squash Lasagna

large butternut squash (peeled, seeded and cut into ½-inch pieces (6-8 cups)*)

olive oil

coarse Kosher salt

pepper

whole wheat lasagna noodles

medium shallot (chopped)

garlic (minced)

chopped fresh thyme leaves

milk (divided)

part skim ricotta cheese (about 2 cups, divided)

large egg

shredded part skim mozzarella cheese (2 ½ cups, divided)

chopped spinach (3 cups )

grated Parmesan cheese