Place the apples pieces, apple juice, lemon juice,
and cinnamon sticks into a pot and bring the apple
juide to the boil over medium-high heat. Lower the
heat to a simmer, cover the pot with a lid, and
cook until the apples are soft (about 15 minutes).
Add the brown sugar, honey, and salt. Mix everything
Remove the cinnamon sticks, and mash the apples
with a potato masher (or process with a immersion
blender, if you want a smoother consistency). At
this point the applesauce is ready. But you can
also add the cinnamon sticks back in, and simmer
covered, a little longer for a stronger cinnamon
taste. This can also thicken the sauce, if desired.