Preheat oven to 180 deg. C.
Combine yogurt, eggs, sugar, vanilla and oil in a bowl until completely mixed.
Sift the flour, baking powder and baking soda together.
Fold the dry ingredients into the wet ingredients gradually until well combined. Sprinkle the berries on top - they will gradually sink into the cake as it bakes.
Pour into a round tin and bake for about 30-35 minutes, or until a toothpick inserted in the center comes out clean.