Preheat the oven to 350˚ F. Line baking sheets with parchment paper or silicone baking mats.
In the bowl of an electric mixer, combine the butter and sugar. Beat together on medium-high speed until light and fluffy, 2-3 minutes. Because the butter is cold, it does take some time for the butter and sugar come together. Once well combined, blend in the eggs one at a time, scraping down the bowl as needed. Add in peppermint extract. Mix in the cocoa powder until well blended.
Add 1 1/4 cups of the flour, salt and baking powder to the bowl and mix on low speed just mixed. Add in remaining cup of flour and chocolate chips and crushed candy cane bits. Mix until just combined, but do not over mix. Dough will be thick.
Scoop dough with a large cookie scoop, approximately 2-3 tablespoons of dough per cookie. Place on the prepared baking sheets, a few inches apart.
Bake 10-11 minutes or until edges start to look fully cooked and the top of cookies does not depress if lightly touched. Let cool on the baking sheets 5-10 minutes, then transfer to a wire rack to cool completely. Store tightly covered.