Combine all ingredients, other than your flour and lavender, in a food processor and pulse until smooth.
1 Cup + 2.5 tablespoon Powdered Sugar , 1 Cup + 2 tablespoon Unsalted Butter , 1 Egg Yolk , ½ teaspoon Salt
Using a mortar and pestle, grind up the lavender buds ever so slightly and add them to your weighed-out flour.
1 tablespoon Culinary Lavender
Pour flour mixture into the food processor and pulse until the dough just comes together.
2⅔ g All-Purpose Flour
Separate the dough into two portions and shape into disks. Wrap each disk in plastic and set in the fridge for about twenty minutes.
Remove the disks from the fridge once they've slightly firmed. Taking two pieces of parchment paper, place one piece of parchment below the dough and one on top. Roll out your dough to ¼ inch and cut into circles using a cookie cutter.
Freeze shortbread for at least 20 minutes until frozen, and preheat the oven to 330 degrees Fahrenheit.
Bake the cookies for 11 minutes, making sure that you take them out of the oven before you see and browning start to occur.
Allow your cookies to cool on a cooling rack while you start the buttercream