Heat the olive oil over medium heat and saute the onions and jalapenos until the onions are translucent.
Add the ground turkey and break the meat apart. Add the chili powder, paprika, ground cumin, dried oregano, garlic powder, cayenne pepper, and sea salt when the meat is no longer pink. Keep tossing the meat until all the spices have been incorporated. Keep an eye on the heat so the spices don't burn.
Add the tomato paste and continue cooking until the paste changes to a deeper red color, about 1 minute.
Add the diced tomatoes, garbanzo, black and red kidney beans, bay leaves, brown sugar, and just enough water to cover all the ingredients. Bring the pot to a boil, then turn the heat down to medium-low and cook for 1 hour to 1 hour and 15 minutes, stirring every 20 minutes.
Taste and adjust the seasoning with sea salt and black pepper.
Divide the chili into bowls and top each bowl with shredded cheese, sliced green onions, and cilantro. Serve immediately.