Preheat oven to 350°F (175°C). Grease a 9×13‑inch baking pan and set aside.
In a large bowl, cream together the softened butter and brown sugar until smooth.
Add the creamy peanut butter and stir until combined.
Add the eggs one at a time, then stir in the vanilla extract until the mixture is uniform.
In a separate bowl, whisk together the all‑purpose flour, baking powder, and salt.
Gradually add the dry ingredients to the wet ingredients, stirring until just combined.
Fold in the Reese’s Pieces and chocolate chips until evenly distributed.
Evenly spread the batter into the prepared 9×13 pan.
Bake at 350°F for about 30 minutes, or until a toothpick inserted into the center comes out clean.
Remove from the oven and allow the bars to cool in the pan before cutting.