Preheat the oven to 350F degrees. Line a 9x13-inch baking pan with parchment paper, leaving an overhang for easy removal.
In a large mixing bowl, mix together 1 cup creamy peanut butter, 3/4 cup (1 1/2 sticks) unsalted butter, melted and slightly cooled, 1 1/4 cups packed light brown sugar and 3/4 cup granulated sugar until smooth.
Add 2 large eggs and 2 teaspoons vanilla extract and mix until just combined.
Sprinkle 1 teaspoon baking soda and 1/2 teaspoon salt over the top of the mixture and stir to combine.
Gradually mix in 2 1/4 cups all-purpose flour until just incorporated. Do not overmix.
Fold in 1 cup of Reese's Pieces.
Spread the dough evenly into the prepared pan. Sprinkle the remaining 1/2 cup Reese's Pieces over the top and press them gently into the dough.
Bake on the middle oven rack for 25-30 minutes or until the edges are set and lightly golden. The center may look slightly underbaked but will set as it cools.
Remove from the oven and cool completely in the pan before slicing into bars.
Notes
Please refer to my FAQ’s (Frequently Asked Questions) and ingredient list above for other substitutions or for the answers to the most common questions.