Pre-heat oven to 350 degrees.
Grease and flour 3 8-inch cake pans.
In the bowl of a stand mixer or a large bowl with a hand mixer, beat butter and sugars until light and fluffy.
Mix in eggs and peppermint extract until just combined.
In a separate bowl, whisk together flour, baking powder, cocoa powder, and salt.
Mix flour mixture into batter, alternating with milk, until just combined.
Fold in Cocoa Pebbles cereal.
Pour batter evenly between prepared pans. Bake at 350 degrees for about 22 to 25 minutes, until toothpick inserted in center comes out clean.
Cool the cakes in their pans on a wire rack for about 10-15 minutes. Then, invert cakes onto wire racks (use a knife if necessary to loosen cakes from pan). Cool completely.