In a skillet, melt the butter over medium heat. Add the peeled and chopped apples along with dark brown sugar, cinnamon, and cardamom. Cook until the apples are tender and lightly caramelized. Remove from heat and let cool.

In a large mixing bowl, combine 2 cups of flour, salt, yeast, and granulated sugar. In a saucepan, heat the milk and butter until warm (not hot). Mix the warm milk mixture into the dry ingredients, followed by eggs and the remaining flour until a soft dough forms. Knead until smooth, then let rise in a warm place until doubled in size.

In a mixing bowl, blend together dark brown sugar, cinnamon, nutmeg, and salt for the cinnamon roll filling.

On a floured surface, roll out the dough to a rectangle. Spread softened butter over the dough, sprinkle evenly with the cinnamon filling mixture, and then layer the apple filling on top.

Roll the dough tightly into a log and slice it into equal-sized rolls. Place the rolls in a buttered baking dish and allow them to rise again until puffed.

Preheat the oven and bake the rolls until golden brown.

While the rolls are baking, combine apple cider, powdered sugar, and butter in a bowl. Whisk until smooth.

Once the rolls are out of the oven, drizzle with icing and serve warm!