Set your oven to 300°F (or 149°C). Lay down a silicone mat or some parchment paper onto a big baking sheet.
Spread some chopped pecans onto this baking sheet. Toast in the oven (about 8 minutes). Let them cool on the kitchen counter at room temperature for 10 to 15 minutes.
Turn the oven to 350°F (177°C). Grab 2-3 cake pans and grease them well (including the parchment paper rounds).
In a big bowl, toss in the granulated sugar, brown sugar, eggs, oil, vanilla, and applesauce. Whisk until smooth. Set aside.
Whisk the baking soda, powder, flour, cinnamon, salt, nutmeg, ginger, and cloves in another bowl. Pour this mixture into the bowl set aside in Step 4. Mix until JUST combined.
Fold in grated carrots and a cup of toasted pecans (keep the rest for garnish later).
Scoop this batter into your prepared baking pans. Bake for 25 minutes (3 pans) to 35 minutes (2 pans). Do the toothpick test to check for doneness.
Set the cake pans on a wire rack to chill completely before frosting.