Preheat oven to 350°F and line a baking sheet with parchment paper; set the sheet aside.
In a large bowl, beat 1 cup no-stir natural peanut butter and 1 1/4 cup coconut sugar (packed) with an electric hand mixer until smooth and combined, about 1–2 minutes.
Add 1 large egg, 1 egg yolk, and 1 teaspoon vanilla extract to the bowl and beat until fully incorporated, scraping the sides of the bowl as needed.
Add 3/4 cup almond flour, 3/4 teaspoon baking soda, and 1/2 teaspoon salt. Stir with a spatula until the dough is uniform and no streaks of flour remain.
Use a 1-tablespoon measuring spoon or small scoop to portion the dough into 1-tablespoon balls; roll between your palms if needed.
Place the balls on the prepared baking sheet about 2 inches apart. Press each ball to about 1/2 inch thick using lightly damp hands (or the bottom of a glass), shaping them into cookies.
Bake for 13–15 minutes, until the cookies feel set at the edges but still slightly soft in the center.
Remove the baking sheet from the oven and let the cookies cool completely on the pan before transferring or serving.