Special equipment: a 12-cup mini loaf pan or 12-cup muffin tray
For the cakes: Preheat the oven to 350 degrees F. Spray a 12-cup mini loaf pan with cooking spray.
Spread the pecans out on 1 side of a rimmed baking sheet, the coconut on the other, and bake until both are toasted, 5 to 7 minutes. Let cool, then finely chop the pecans.
Combine the flour, baking powder, baking soda, cinnamon, ginger and salt in a large bowl. Whisk together the butter, sour cream, brown sugar, vanilla and eggs in another large bowl. Stir the carrots, pecans and coconut into the egg mixture. Fold the flour mixture into the carrot-egg mixture until just combined. Divide evenly among the prepared pans (about 3 heaping tablespoons of batter per loaf). (Don't be alarmed if the batter seems skimpy; the cakes will rise once baked.)
Bake until the center of a cake bounces back when pressed and a toothpick inserted in the middle comes out clean, 20 to 22 minutes. Let the cakes cool in the pan for a few minutes, then transfer to a rack to cool completely.
For the glaze: Mix together the confectioners' sugar, cream cheese, lemon juice and salt in a medium bowl. Top each loaf with about 1 tablespoon of the glaze, and spread evenly with the back of the spoon.
When measuring flour, we spoon it into a dry measuring cup and level off the excess. (Scooping directly from the bag compacts the flour, resulting in dry baked goods.) Never leave a child unattended in the kitchen. Limit the child to tasks that are safe and age-appropriate.
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