Preheat the oven to 350F then line a baking sheet with parchement paper and set it aside.
Cream the butter, granulated sugar, and brown sugar until combined. Add in the egg and the vanilla and mix again.
Add in the flour, graham cracker crumbs, salt, baking soda, and baking powder and mix just until the flour mixture disappears.
Using a large (1/4 cup) cookie scooper, scoop out 8 equally sized cookie dough balls, roll them between the palm of your hands then roll them in the 1/3 cup of the crushed graham crackers.
Place the cookie dough on the prepared baking sheet, gently flatten to about 3/4th inch in thickness and bake in the preheated oven for 9-10 minutes. Let the cookies cool down on the baking sheet for 10 minutes then transfer to a cooling rack.
Cream cheese frosting
In a stand mixer whip the softened cream cheese and butter together until smooth.
Add in the powdered sugar. the vanilla extract, lemon juice, and lemon zest, and mix on high speed again until light and fluffy. This should take 2-3 minutes.
Spread on top of each cookie using a spatula then top with a dollop of lemon curd and gently make a swirl on top of the cream cheese. Top each cookie with a slice of lemon and a dusting of crushed graham crackers if you'd like and enjoy!
Notes
To make your own homemade lemon curd follow this recipe!