Preheat the oven to 350F. Line two cookie sheets with parchment paper.
Whisk together the flour, baking powder, baking soda and salt in a medium bowl. Set aside.
In a food processor, pulverize the strawberries until powdery.
In the bowl of a stand mixer fitted with a paddle attachment, beat the butter and 1 1/2 cups of the granulated sugar together on medium-high speed until light and fluffy, about 2-3 minutes.
Reduce the speed to low and add the egg, egg yolk, and vanilla extract and beat until incorporated, about 1 minute.
Scrape down the bottom and sides of the bowl.
Add in the flour mixture, mixing on low until just combined. Remove from the mixing bowl. No need to rinse out the mixing bowl.
Using a kitchen scale, weigh all of the dough. Divide the dough into three portions.
One portion is your vanilla dough. Nothing will be added to it. Set vanilla dough aside.
Place one portion of dough back into the mixing bowl. Add the freeze dried strawberries and a drop of red or pink food color. Beat on low speed until well combined.
Remove the strawberry dough from the bowl and set aside. Wipe out the bowl with a paper towel.
Place last portion of dough back into the mixing bowl. Add the cocoa powder, beating on low speed until well combined.
Use a 1 tbsp cookie scoop to portion the vanilla cookie dough into balls. Wipe down the inside of the cookie dough scoop with a paper towel.
Repeat with the strawberry cookie dough. Wipe down the inside of the cookie dough scoop with a paper towel.
Repeat with the chocolate cookie dough.
Take one each of the vanilla, strawberry and chocolate dough balls and gently press them together. Roll into a ball.
Repeat making tri-color dough balls with the remaining dough.
Place the remaining 1/4 cup of granulated sugar into a shallow bowl.
Roll the dough balls into the sugar and place on the cookie sheets, 3 inches apart.
Bake the cookies for 9-11 minutes until the edges are just set and the centers still soft.
Let the cookies cool for 15 minutes, or until the cookies are firm enough to handle.