Preheat your oven to 160 deg C fan-forced and grease and line a 23 (10") springform pan.
In a large bowl combine the flour, brown sugar, baking powder, cinnamon and apples. Stir well and set aside.
In another bowl combine the yogurt, eggs, olive oil, vanilla and whisk to combine well.
Add the wet mixture to the dry and stir until just combined. Do not over-beat or mix.
Pour the milopita batter into the greased and lined springform pan and bake for 35-40 mins. (Insert a skewer to check that it is cooked). Leave the cake in the pan for 10 mins before removing and allow cooling before dusting with icing sugar.