Spicy Mayo: Put the 1/2 cup mayo and 1 tablespoon garlic chili sauce in a small bowl; mix to combine. Set aside.
Quick Pickled Vegetables: Place thinly sliced vegetables into a mason jar. In a small saucepan, add 1/2 cup apple cider vinegar, 1/4 cup water, 2 tablespoons red wine vinegar, 2 tablespoons white vinegar, 1-2 smashed garlic cloves, and 1/2 teaspoon kosher salt. Bring to a simmer and then pour that pickling liquid into the same jar as vegetables, while still hot. Let sit 30 minutes (careful it will be hot).
Make Pork Mixture: Put all the Pork Mixture ingredients in a large bowl; mix to combine. Divide this mixture into 6 equal-sized balls and set aside on a plate.
Cook Patties: Preheat flat top griddle to medium-high heat. Once hot, place pork balls on top. Place a parchment paper square on a ball & slowly press down to flatten with the burger press. Remove the parchment and let cook for about 40 seconds. Repeat this process with all the patties, it may need to be done in batches. Flip each patty and place a tortilla on the griddle next to each one. Close the lid and let burgers cook for about 2 minutes. Open lid, flip tortillas, and use a large spatula to lift a patty on to the toasted tortilla and then off the griddle to a plate. Repeat process until all have been removed.
Serve: Enjoy the smash burger tacos with some lettuce, cilantro, quick pickled vegetables, and a drizzle of the spicy mayo!