Cream the butter and sugars. Then drizzle in the oil, vanilla, and cotton candy extract. Mix in the eggs followed by the dry ingredients. Portion with large cookie scoop. Chill 30 minutes.
Place dough on parchment lined cookie sheet. Bake 11-12 minutes. Flatten cookies with flat bottomed glass while still hot, cool completely.
Cream butter until smooth. Add vanilla and cotton candy extracts. Beat in powdered sugar 1/2 at a time until smooth. Divide frosting in half and color pink and blue.
Add a dollop of each color frosting and use a spatula to spread it and swirl the colors together gently. Top with sprinkles. Enjoy!