In a medium mixing bowl, whisk together the brown sugar, white sugar, egg, vanilla extract, baking soda, and salt.
Whisk in the peanut butter until smooth. At this point, the dough will seem like a thick brownie batter, but it will thick into more of a cookie dough in the fridge.
Transfer the dough to the fridge for 1 hour to chill.
During the final 10 or so minutes, preheat the oven to 325°F.
Scoop the dough using 1 ½ tablespoons and place on a parchment lined baking sheet.
Sprinkle the tops with cane sugar if desired and flatten the tops lightly. You can use your fingers or a fork.
Bake for 11-15 minutes or until the tops are lightly cracked and the bottoms are golden brown. They'll continue to firm up as they cool.
Let cool for 15 minutes on the baking sheet. Don't try to move the cookies right when you take them out of the oven. They need to cool before moving, or they'll break apart. Transfer to a wire rack to finish cooling.
Sprinkle with salt flakes if desired and enjoy!
Notes
If your flourless peanut butter cookies aren't hardened after cooling, place them in the fridge for a short amount of time. This will help them firm up so they won't fall apart.
There's always room for more ingredients in these cookies! Adding mini chocolate chips, crushed walnuts, shredded coconut, or even some mini marshmallows would be fun additions.
Even though you might be tempted to add more peanut butter, pay close attention to what the recipe calls for. Adding too much peanut butter can cause issues with the texture of the cookies, making them crumbly.