In a medium size mixing bowl, combine finely chopped methi leaves, green chilies, ginger, salt, turmeric, chili powder and sugar. Add chickpea flour, whole wheat flour and mix well. Add just enough water to a smooth, sticky dough.
Using damp hands, divide the dough into 12~16 equal portions. Shape each portion into an oval shape by rolling between the palms and fingers. This is a sticky dough, lightly greasing your palm with oil before shaping will help.
Heat oil in small wok or pan on medium heat for deep frying. Gently slide muthiya into the hot oil. Depending on the size of your pan, you can fry more muthiya at the same time. Fry the muthiyas, stirring occasionally, until they turn golden brown all over. Remove with a slotted spoon onto a paper towel lined plate. Serve hot.