Preheat oven to 350 degrees Fahrenheit and line a baking sheet with parchment paper.

In a medium bowl, whisk the egg, applesauce, vanilla, and erythritol until homogenized.

Add the powdered peanut butter, baking soda, and salt; stir until a thick paste forms.

Incorporate the oats using a spatula until fully coated.

Scoop 12 equal mounds onto the baking sheet and flatten slightly to a thickness of 0.5 inches.

Bake for 10 minutes or until the edges are firm to the touch.

Allow to cool on the tray for 5 minutes to complete the starch setting process.