Preheat the oven to 350°F (175°C) and line an 8”x8” (23 cm x 23 cm) pan with a piece of parchment paper.
In a medium bowl, combine the flour, cinnamon, ginger, nutmeg, baking soda, and salt. Set aside.
1 cup (125 grams) flour, 1 teaspoon ground cinnamon, 1/2 teaspoon ground ginger, 1/4 teaspoon ground nutmeg, 1 teaspoon baking soda, 1/4 teaspoon salt
In a large bowl, whisk the eggs and then add the sugar, applesauce, oil and vanilla and mix until combined.
2 large eggs, 3/4 cup (150 grams) granulated sugar, 6 tablespoons (91 grams) unsweetened applesauce, 1/4 cup (60 ml) canola oil, 1/2 teaspoon vanilla extract
Add the dry ingredients to the wet and stir just until combined.
Then fold in the carrots only just until combined.
7 oz (1 3/4 cups or 198 grams) carrots
Bake for 23 minutes. It’ll have browned a bit. The toothpick came out clean at 20 minutes, but I dug in with a fork, and it was still gooey in the middle. At 23 minutes, it was done.
Let cool on a wire rack until completely cooled, about 70 minutes, before frosting.