Preheat and Prepare – Preheat oven to 350°F (175°C). Line a 12-cup muffin tin with cupcake liners.
Mix Dry Ingredients – In a large bowl, whisk together cake flour, sugar, cinnamon, ginger, salt, baking soda, baking powder, and nutmeg.
Combine Wet Ingredients – In another bowl, whisk together vegetable oil, eggs, and vanilla extract. Gradually add the wet mixture to the dry ingredients, stirring until just combined.
Add Carrots and Nuts – Fold in the grated carrots and chopped toasted pecans.
Bake – Divide batter evenly among cupcake liners, filling each about two-thirds full. Bake for 18-22 minutes, or until a toothpick inserted in the center comes out clean. Let cupcakes cool completely on a wire rack.
Make the Frosting – In a large bowl, beat cream cheese and butter until smooth. Add salt, then gradually mix in confectioners' sugar. Stir in vanilla extract and mix until creamy.
Decorate – Tint a portion of the frosting with orange food coloring and transfer to a piping bag with a small round tip.
Create the "Dirt" – Mix cocoa powder and crushed chocolate wafer cookies. Frost cupcakes with a layer of cream cheese frosting, then dip tops into the crushed cookie mixture.
Add Carrots – Pipe small "carrot" shapes onto each cupcake with the orange-tinted frosting. Insert a small mint sprig at the top of each "carrot" to resemble greens.
Serve & Enjoy – Your adorable Carrot Patch Cupcakes are ready to be enjoyed!