In a medium bowl, whisk together flour, baking powder, baking soda and salt. Set aside.
In a large bowl of a stand mixer, mix butter, granulated sugar, and brown sugar together. Beat until light and fluffy, about 3 minutes. Scrape down the sides of the bowl with a rubber spatula.
With the mixer on medium-high, add eggs one at a time, beating until incorporated. Add vanilla and buttermilk. Mix until combined.
Turn mixer speed to low, add half the flour mixture and mix for a few seconds. Pour in Irish cream, and mix for a few more seconds. Add remaining flour mixture and mix just until combined. Scrape down the sides of the bowl with a rubber spatula as needed.