Mix corn flour and flour with a little salt in a bowl. Gradually knead in about 100 ml of water with the dough hooks of the hand mixer. Knead with your hands to a smooth, firm dough.
Cover and leave to rest for about 1 hour. Peel onions and garlic. Cut onions into half rings, chop garlic finely. Carve the chilli lengthwise, remove seeds and cut into rings. Steam prepared ingredients in hot oil for about 3 minutes.
Stir in the tomato paste. Coarsely grate the cheese. Shape dough into 8 balls of the same size. Roll out to thin circles (approx. 15 cm Ø) on a floured work surface. Brush a pan with oil and heat it up.
Bake the flat cakes one after the other from each side for about 1 minute. Spread the prepared paste on top. Place the flat cakes in an ovenproof, oiled pan or on a baking tray. Beat 1 egg on top. Sprinkle with cheese.
Bake in the preheated oven (electric oven: 175 °C/ gas: level 2) for approx. 17 minutes. Tomato-chilli sauce tastes good with it.