Heat turkey-mixture oil in a skillet over medium heat and soften onion for 5 minutes. Add turkey and mushrooms and cook for 8 to 10 minutes, breaking the meat finely, until turkey reaches 165°F; add garlic for 1 minute.
Transfer to a 6-quart slow cooker with broth, thyme, 1/4 teaspoon salt and pepper. Cover and cook on low for 6 hours.
During the final hour, heat oven to 425°F. Toss celery root with its oil and remaining salt on a sheet pan and roast for 30 to 35 minutes until very tender, turning once.
Turn the slow cooker to high and stir in dry broken lasagna noodles. Cover and cook for 25 to 35 minutes, stirring after 15 minutes, until the pasta is tender.
Scoop 1 cup hot broth from the cooker and blend carefully with roasted celery root and evaporated milk until completely smooth, venting the blender lid and holding a towel over it.
Stir the smooth puree into the soup, cover for 5 minutes and check that the soup reaches 165°F throughout. Switch off and stir in Parmesan.
Divide among six bowls and add one-sixth of the ricotta as a small spoonful to each. Serve promptly so the noodles retain their shape.