Preheat your oven to 350°F (175°C) and line a baking sheet with parchment paper.

In a large mixing bowl, cream together the peanut butter and unsalted butter until light and fluffy. Gradually add the sugars, mixing until creamy.

Incorporate the egg and vanilla extract, beating until well mixed.

In a separate bowl, whisk together the flour, baking powder, baking soda, and salt. Combine the dry ingredients with the wet mixture until a smooth dough forms.

Scoop about 2 tablespoons of dough, flatten it into a disc, and place half on the baking sheet.

Add a teaspoon of jelly in the center of each disc and cover with another disc of dough. Seal the edges and crimp if desired.

Bake for 12-15 minutes until the edges are golden brown. The centers should remain slightly soft.

Let the cookies cool on the baking sheet for 5 minutes before transferring to a wire rack.