Heat olive oil in a large pot over medium-high heat. Add garlic and onions and cook, stirring, until onions begin to brown.
Add crushed tomatoes, chili powder, cumin, cayenne pepper, and juice of 1/2 lime.
Bring mixture to a boil, stirring constantly.
Add chicken broth; reduce heat to low and simmer 10-15 minutes.
Stir in chicken.
Serve, topped with your choice of fixings!