Preheat oven to 350 degrees
In a large bowl, use a hand mixer to cream the butter and sugar together.
Add in eggs, vanilla, and yogurt, and mix well.
Fold in apples and carrots, and mix well.
In a separate bowl mix together Bob's Red Mills Organic Unbleached White Flour, baking soda, baking powder, salt, cinnamon, nutmeg, and cloves.
Combine the wet and dry batter, mixing until just combined. Do not overmix.
Line a 9 x 9 or 11 x 7 baking pan with parchment paper, and pour batter into the pan.
Bake for 30-35 minutes until no longer jiggly in the center, or until toothpick inserted in center comes out clean.
Let cool completely.
While cake cools, prepare frosting by mixing all frosting ingredients together in a large bowl with a hand mixer
Spread frosting over the top of the carrot cake bars, and garnish with chopped pecans.
Cut into slices and serve!