Beat the eggs and add the yogurt to them, in which you've extinguished the baking soda in advance, then add the mayonnaise, flour and mix well.
You need to get a thick cake batter. Add the feta cheese and oil lastly. Pour the mixture into a greased and floured cake form.
Bake 40 minutes, in a preheated 365°F (185 °C) oven.