01 - Combine chopped apples, lemon juice, apple cider, and water in a large heavy-bottomed pot. Bring to a simmer over medium heat. Cook for 10 minutes, stirring occasionally, until apples become tender.
02 - Using a potato masher or immersion blender, mash the apples lightly, ensuring some small chunks remain for texture.
03 - Add granulated sugar, brown sugar, ground cinnamon, ground nutmeg, ground allspice, and salt to the pot. Stir until sugars are fully dissolved.
04 - Stir in the unsalted butter. Continue cooking over medium heat, stirring frequently, until the mixture thickens and develops a golden caramel hue, approximately 20 to 25 minutes. Scrape the bottom regularly to avoid scorching.
05 - Increase heat to bring the mixture to a boil. Add the liquid pectin and stir thoroughly. Maintain a hard boil for 1 to 2 minutes. Remove the pot from heat.
06 - If necessary, skim off foam from the surface. Ladle the hot mixture into sterilized jars, leaving a 1/4-inch headspace. Wipe jar rims, apply lids, and seal. Process jars in a boiling water bath for 10 minutes, adjusting for altitude as needed.
07 - Allow jars to cool undisturbed. Store in a cool, dark location. After opening, refrigerate and use within a month.