Preheat your oven to 350°F (175°C).
In a large mixing bowl, combine the smooth peanut butter, room temperature unsalted butter, dark brown sugar, and granulated sugar. Use an electric mixer or a whisk to cream these ingredients together until light and fluffy.
Add in the real vanilla extract and eggs one at a time, beating well after each addition.
In a separate bowl, whisk together the baking powder, baking soda, sea salt, and all-purpose flour until well combined. Gradually add this dry mixture to your wet ingredients, mixing until just combined.
Using a cookie scoop or tablespoon, drop spoonfuls of dough onto prepared baking sheets lined with parchment paper. Bake for about 12 minutes or until edges are lightly browned.
Allow the cookies to cool on the baking sheet for a few minutes before transferring them to wire racks to cool completely.