Preheat the oven to 340°F/170°C. Grease two loaf pans. Line the pans with parchment and grease the parchment. Dust the pans with flour.
In a large mixing bowl, place the ingredients in this order: grated carrots, orange zest, oil, eggs, white sugar, brown sugar, and vanilla extract.
Sift the flour, baking powder, soda, salt, and cinnamon. Add to the bowl and mix to combine.
Cut the prunes into small pieces and add to the bowl together with the raisins and yogurt.
Mix just until combined.
Divide the batter between the prepared pans and bake until a toothpick inserted into the centers comes out clean about 30-45 minutes. Let cool for 10 minutes in the pans, then run a knife around the edges of the pans and remove the cakes to the rack to cool completely.
Dust with powdered sugar, slice, and enjoy.