Begin by mixing the butter, apple butter, and 1 3/4 cups of the sugar in a stand mixer until just combined.

Add the egg and vanilla to the mixture and blend until they're fully incorporated.

In a separate bowl, whisk together the flour, cream of tartar, baking soda, salt, and cinnamon. Gradually add this to the wet ingredients, mixing until a dough forms.

Chill the dough in the refrigerator for 1 to 2 hours to make it easier to handle.

Preheat your oven to 350°F and prepare baking sheets with parchment paper or silicone mats.

Create the cinnamon-sugar coating by mixing the remaining 1/4 cup of sugar with 1 tablespoon of cinnamon in a small bowl.

Form the dough into balls, roll them in the cinnamon-sugar mixture, and place on the prepared baking sheets, spaced apart.

Bake the cookies for 15 minutes. They should spread and the edges should brown, but the centers will remain slightly soft.

Let the cookies rest on the baking sheet for 5 minutes before transferring them to a wire rack to cool completely.