Blend the cottage cheese until completely smooth. It gives the dough a creamy, sweet cream flavor that tastes just like the filling of the sandwich cookies.
In a large bowl, beat the softened butter, granulated sugar and brown sugar for 2 minutes. Beat in the blended cottage cheese, egg yolk and vanilla until creamy.
Add the flour, protein powder, baking soda and salt, and mix until a soft dough forms. Fold in the chopped sandwich cookies and white chocolate chips, then cover and chill for 30 minutes.
Preheat the oven to 350°F and line 2 baking sheets with parchment paper. Scoop the dough into 16 balls, about 2 tablespoons each, and place them 2 inches apart.Press a sandwich cookie half into the top of each ball.
Bake for 10 to 12 minutes, until the edges are lightly golden and the centers look soft.
Cool on the baking sheets for 10 minutes, then move to a wire rack to cool completely.