Remove casings from chorizo. In a large pot, Brown chorizo with diced onions until no longer pink.Drain if needed.
Add the remaining ingredients except cheese & noodles, stirring until well combined. Simmer until chili is completely hot. Reduce heat.Add cheese, stirring occasionally until all cheese is incorporated.
Add cooked noodles, mix well. Cover. Allow 10 to 15 minutes before serving.