Add oil to a large pot over medium heat. Add onion and garlic and sauté for 3-5 minutes.
Add ground turkey and cook until brown, about 5-7 minutes.
Use a wooden spoon to break up the meat while cooking.
Add spices (turmeric, cumin, chili powder, cayenne pepper, cinnamon, sea salt and pepper) and cook for an additional minute.
Add butternut squash pieces, veggie broth, coconut milk, and quinoa to the pot. Stir to combine.
Bring mixture to a boil. Once bubbling, reduce heat to medium and simmer the chili uncovered for about 25-30 minutes, stirring occasionally.
Add kale or spinach, stir to combine and let sit for a couple minutes to allow the greens to wilt.
Portion chili into bowls and top each bowl with green onions before serving.