Preheat your oven to 350°F (175°C) and line your baking sheets with parchment paper.

Whisk together the flour, baking powder, baking soda, and a pinch of salt in a medium bowl and set aside.

In a large bowl, cream together the butter, oil, granulated sugar, and brown sugar until light and fluffy, about 3-4 minutes.

Add the egg and vanilla extract, mixing on low speed until fully incorporated.

Mix in the food coloring and vinegar until evenly distributed.

Fold the dry ingredients into the wet mixture until just combined, avoiding overmixing.

Scoop dough onto prepared baking sheets, spacing them about 2 inches apart.

Bake for about 12 minutes until set around the edges but soft in the center.

Allow to cool on baking sheets for 5 minutes, then transfer to a wire rack to cool completely.

For the frosting, beat together the cream cheese and butter until smooth and creamy.

Gradually mix in the powdered sugar until fluffy and smooth, then frost cooled cookies.