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Preheat the oven to 350 degrees F.
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Grease and flour a 9 x 15 baking pan.
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Place the carrots in a food processor or blender and chop into small pieces.
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In a separate bowl, whisk together the flour, nut flour, baking powder, cinnamon, and salt and set aside.
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Beat the eggs together with the powdered sugar and vanilla extract. until creamy.
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Add the oil and beat until combined.
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Slowly add the dry ingredients and mix until just combined.
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fold in the shredded carrots.
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Transfer the cake batter to the prepared pan and bake for 45 minutes or until a knife inserted in the center of the cake comes out clean.
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Remove from oven and let sit 10 minutes before removing the cake from the pan. Transfer to a wire rack and let cool completely.