01 - Preheat oven to 350°F and line two baking sheets with parchment paper.
02 - In a medium bowl, whisk together flour, matcha powder, baking powder, and salt until well blended.
03 - In a large bowl, beat butter and sugar with an electric mixer until light and fluffy, approximately 2-3 minutes.
04 - Add egg and vanilla to the butter mixture, mixing until fully incorporated.
05 - Gradually add the dry ingredients to the wet mixture, mixing on low speed until just combined. Do not overmix.
06 - Scoop tablespoon-size portions of dough and roll into balls. Arrange on prepared baking sheets, spacing 2 inches apart.
07 - Gently flatten each ball with your palm or the bottom of a glass to create an even surface.
08 - Bake for 10-12 minutes, until edges are set but centers remain slightly soft. Cool on baking sheets for 3 minutes before transferring to a wire rack.
09 - Beat butter until creamy, then gradually add powdered sugar. Mix in milk, ground lavender, vanilla, and salt. Continue beating until light and fluffy. Add food coloring if desired.
10 - Once cookies have cooled completely, frost each with lavender buttercream and garnish with additional lavender buds.