First Step: Prepare the Apple Pie Filling Start by mixing 1/4 cup water with 1/2 tablespoon cornstarch to make a slurry, which will thicken the filling. Peel and finely chop 1 large sweet apple into small chunks. In a saucepan, combine the apple chunks, 3 tablespoons brown sugar, 2 tablespoons vegan butter, 1 tablespoon lemon juice, and 1/2 teaspoon pumpkin pie spice. For a gluten-free adaptation, ensure your cornstarch is certified gluten-free, and use an oil alternative like coconut oil for nut-free options. Cook the mixture over medium heat until the vegan butter melts and it begins to bubble, about 5 minutes.

Second Step: Cook and Cool the Filling Once bubbling, add the cornstarch slurry to the saucepan and stir continuously for 5-10 minutes until the mixture thickens and turns glossy. This step ensures the filling holds its shape inside the cookies. For low-calorie variations, you could use a sugar-free syrup here, but adjust the liquid to avoid excess moisture. After cooking, remove from heat and set aside to cool completely, which takes about 15-20 minutes. This cooling is crucial for safe handling and prevents the dough from becoming too wet when assembling.

Third Step: Make the Cookie Dough Begin by creaming 1/2 cup vegan butter with 1/2 cup sugar and 1/4 cup brown sugar until the mixture is fluffy, taking 2-3 minutes with a mixer. Add the flax egg (made from 1 tablespoon ground flaxseed mixed with 3 tablespoons water) and 1 teaspoon vanilla extract, mixing until fully incorporated. For dietary needs, swap the flour with a gluten-free alternative and use a low-calorie sweetener if desired, but note it might affect the crispy texture. Gradually mix in 1 1/2 cups plus 1 tablespoon all-purpose flour, 1 teaspoon pumpkin pie spice, 1/2 teaspoon baking powder, and 1/4 teaspoon salt to form a thick dough. To keep it vegan and eggless, stick to the flax egg for best results.

Fourth Step: Chill and Shape the Cookies Cover the dough and chill it in the fridge for 30 minutes to 1 hour; this step is essential for achieving that crispy texture and easy shaping. Preheat your oven to 350°F and line a baking tray with parchment paper. Scoop out 10 dough balls, each about 2 tablespoons in size, and roll them in the remaining 2 tablespoons of sugar for a sweet, crispy coating. Make a thumb indent in each ball and spoon about 1 tablespoon of the cooled apple filling into each, spacing them at least 2 inches apart on the tray. For smaller cookies, adjust to make about 15 and reduce baking time accordingly for consistent results.

Final Step: Bake and Cool the Cookies Bake the cookies for 14-16 minutes until the edges turn golden and crispy while the centers remain set but gooey. For adaptations, if using nut-free options, double-check all ingredients to avoid cross-contamination. Once baked, let them cool on the baking sheet for 5 minutes to firm up, then transfer to a wire rack to cool completely. Serve these vegan apple pie cookies warm for the best flavor, perhaps with a side of tea, and store any leftovers as outlined later. Always handle hot trays with oven mitts for safety, and enjoy the warm spices that make this recipe a hit.