Preheat oven to 170C. Grease 8 mini loaf pans.
Combine the flour, baking powder, soda and caster sugar in a bowl. In a separate bowl combine the eggs, rice bran oil, Greek yoghurt, zest and vanilla.
Add the wet into the dry ingredients and stir until just combined. Make sure not to overmix as this will make the mixture tough. Pour into mini loaf tins until ¾ full. Bake for 15-20min. Allow to cool in the tin for 10mins before cooling on a wire rack.
Combine the orange juice and icing sugar and drizzle over cooled cakes.