Preheat the oven to 350F and grease a pan. I used a traditional 9x3 inch pan.
In a medium size bowl, combine the flour, baking powder and baking soda.
In a large bowl (I used my kitchen Aid), whisk the eggs for about two minutes. Add the yogurt. Mix until fully incorporated.
Add the canola and olive oil, milk and vanilla. Whisk until fully incorporated.
Add the sugar and mix well for a few seconds.
Add the flour mixture, and mix until fully incportaded.
Spread 1/3 of the apples on the bottom of the cake mold, creating a layer of apples. Add 1/2 of the cake batter and repeat the process again 1 more time and place the remaining third of the apples on top.
Bake for 60 minutes or until a tester comes out clean.