Directions

Preheat oven and prep baking dish:

Preheat oven to 350°F. Brush a 9-by-13-inch glass baking dish with oil; set aside.
Combine dry ingredients in food processor:

In a food processor, combine flour, baking soda, baking powder, cinnamon, salt, cloves, and nutmeg; process to combine.
Add sugar and yogurt:

Add sugar and yogurt; process until combined.
Add oil, then eggs:

With processor running, add oil and then eggs, one at a time, processing until combined.
Stir in carrots:

Transfer to a large bowl; stir in carrots.

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Transfer batter to pan and bake:

Pour batter into prepared pan. Bake until a toothpick inserted in the center comes out clean, 30 to 35 minutes. Cool in pan.
Make frosting and frost cake:

Meanwhile, make frosting. With an offset spatula or a butter knife, spread frosting over top of cake. To serve, cut into squares.