In a bowl, mix together the flour, grated Parmesan cheese, Espelette pepper, and oregano. Then add the butter and mix with your fingertips until you have a smooth dough.
Spread the dough between 2 sheets of parchment paper.
Place on a baking sheet and refrigerate for 1 hour.
Cut out the shortbread cookies with a cookie cutter and place them on a baking sheet lined with parchment paper.
Mix the grated Parmesan cheese, oregano, and Espelette pepper for the finishing touch and sprinkle over the shortbread cookies.
Bake in a preheated oven at 320°F for about 15 minutes, keeping an eye on it.
Remove from the oven and allow to cool before removing them.