Preheat: Turn the oven to 350°F (175°C). Grease two 8-inch pans and line the bottoms with parchment paper.
Mix Dry: Whisk the flour, baking powder, baking soda, salt, and cinnamon in a medium bowl.
Cream Fats: In a large bowl, beat the butter, oil, brown sugar, and white sugar until pale (about 3 minutes).
Add Wet: Beat in eggs one at a time. Mix in the vanilla and ½ cup cookie butter until smooth.
Combine: Add half the flour mixture. Mix gently. Pour in the buttermilk. Mix gently. Add the rest of the flour. Stop mixing when combined.
Bake: Divide batter into the pans. Bake for 25–30 minutes until a toothpick comes out clean.
Cool: Cool in pans for 10 minutes. Flip onto a wire rack to cool completely.
Make Frosting: Beat butter and ¾ cup cookie butter until creamy. Slowly add powdered sugar, milk, and salt. Whip for 3 minutes.
Assemble: Spread frosting between the two cooled layers. Cover the outside of the cake. Top with crushed cookies.