Place pork shoulder in a slow cooker.

In a large bowl, mix ketchup, apple cider, water, Worcestershire sauce, brown sugar, smoked paprika, chili powder, minced garlic, black pepper, and hot pepper flakes.

Pour the mixture over the pork, ensuring it is well coated.

Cover and cook on medium heat for 8 hours.

Once cooked, remove the pork from the slow cooker and shred it using two forks.

Prepare the sauce: In a pot, combine cider vinegar, ketchup, soft brown sugar, mustard powder, lemon juice, smashed garlic clove, cayenne powder, sea salt, and cracked pepper.

Bring the sauce to a boil over medium-high heat, stirring frequently.

Reduce heat and simmer until the sauce thickens and smooths out.

Remove the sauce from the heat and let it cool.

Add the sauce to the shredded pork and mix thoroughly to combine.

Serve the pulled pork on warm buns with your favorite toppings.