Place a large pot on medium heat and add oil.
When oil is hot, add millet and cayenne and stir for 2 to 3 minutes until millet gives off a nut-like fragrance.
Add boiling salted water and reduce heat to simmer.
Simmer, covered, for 35 to 40 minutes, adding vegetables 5 minutes before the end.
Add flours to millet and vegetables, mixing well to avoid lumps.
Let mixture sit for 15 to 20 minutes until cool enough to handle.
Heat oil about ⅛ inches; deep in a frying pan on medium-low heat.
Form millet mixture into thick patties with hands, or press into shape with a pancake turner.
Fry for 3 to 4 minutes on each side or until crsp and lightly browned.
Serve with soy sayce or your favorite sauce or gravy.
Makes 18 to 20 burgers.