Preheat the Oven:
Preheat your oven to 350°F (175°C). Grease and flour two 8-inch or 9-inch round cake pans, or a 9x13-inch rectangular pan.
Mix the Dry Ingredients:
In a medium bowl, whisk together the flour, baking powder, baking soda, cinnamon, nutmeg, ginger, cloves, and salt. Set aside.
Mix the Wet Ingredients:
In a large mixing bowl, cream together the butter, oil, granulated sugar, and brown sugar until light and fluffy (about 3–4 minutes).
Add the eggs, one at a time, beating well after each addition. Stir in the vanilla extract.
Add the Buttermilk and Dry Ingredients:
Alternately add the dry ingredients and buttermilk to the wet mixture, beginning and ending with the dry ingredients. Mix until just combined—be careful not to overmix.
Bake the Cake:
Divide the batter evenly between the prepared cake pans or pour it into the 9x13-inch pan.
Bake for 30–35 minutes, or until a toothpick inserted into the center comes out clean or with a few moist crumbs.
Allow the cakes to cool in the pans for 10 minutes, then transfer to a wire rack to cool completely.
Make the Maple Icing:
In a medium saucepan, melt the butter over medium heat until golden brown and nutty in aroma (about 4–5 minutes). Be careful not to burn it.
Remove from heat and whisk in the maple syrup, vanilla extract, and pinch of salt.
Gradually whisk in the powdered sugar, followed by enough milk or heavy cream to achieve a smooth, spreadable consistency.
Ice the Cake:
Once the cake has cooled completely, spread the Maple Icing evenly over the top of the cake. If using layers, apply a thin layer of icing between them and generously coat the top.