In a large pot, heat olive oil until hot. Add onion and garlic, stir until fragrant for about 30 seconds.
Add sugar, chili powders, cumin, cinnamon, oregano, and coriander. Stir for 10-15 seconds.
Add ground turkey to pot and sprinkle salt. When the turkey is cooked through, add tomato paste and stir.
Add bell peppers, fire-roasted tomatoes with juices, chicken broth, and Worcestershire sauce. Bring chili to a simmer, leave covered for 20 minutes.
Add squash and beans. Bring chili back to a simmer covered for an additional 20 minutes or until the squash is tender.
Remove from heat and add additional salt and pepper to taste. Serve warm (optional: add cheese) and enjoy!