Preheat oven to 350°F. Line baking sheet with parchment paper or reusable silicone baking mat. Set aside.
In a large bowl, use an electric hand mixer to cream together butter, peanut butter, and brown sugar until smooth. Scrape down sides of bowl as needed to ensure thorough mixing. Add egg and mix until well combined.
Add flour, baking powder, and salt to mixing bowl. Mix until there are no longer any dry streaks. Dough may be crumbly. Use your hands to knead together to form cohesive dough.
Portion out dough into rounded tablespoons. Form into round balls using the palms of your hands. Roll and coat with granulated sugar.
Place sugar coated cookie balls on prepared baking sheet, spacing them about 2 inches apart.
Bake for 7 minutes. Remove from oven. Use a ½ teaspoon measuring spoon to create indent in the center of each cookie ball. Fill cavity with ½ teaspoon of raspberry jelly. Return to oven. Bake for another 8 minutes.
Remove from oven. Cool cookies in baking sheet for 5 minutes. Unmold cookies and transfer to wire rack. Cool to room temperature.