In a large bowl, sift together the All-Purpose Flour (5 2/3 cup) and Salt (1 teaspoon). Set aside.
Using an electric mixer or hand mixer, cream together the Unsalted Butter (2 cup) and Granulated Sugar (2 cup) until fluffy and pale, about 5 minutes.
Beat in the Large Egg (2) and Pure Vanilla Extract (1 tablespoon).
Add flour mixture and Matcha Powder (1/3 cup) and mix on low speed until thoroughly combined.
Remove half of the dough from the bowl, make it into a disc about 2" thick, and wrap in plastic wrap. Repeat with the remaining dough. Chill both discs of dough for about 45 minutes.
Remove one disc and remove plastic wrap. Place on a floured surface, and roll out to a 1/4" thickness.
Preheat your oven to 325 degrees F (160 degrees C). Slide your parchment paper and dough onto a board, then place in refrigerator for about 15 minutes.
Use your Yoda cookie cutter and place them on a sheet pan lined with parchment or a silicone mat.
Bake for 10 to 12 minutes until they begin to brown a bit on the edges.
Cool sheets on wire racks for 10 minutes, then gently remove cookies and place on wire racks to finish cooling. Enjoy!