Place apple cider in a small saucepan on stove and bring to a boil.
Continue boiling until cider has reduced to about ¼ cup.
(This will take approximately 5 minutes).
Remove from heat; set saucepan aside to cool.
Core and peel apples.
Cut into 16 slices for large apples and 12 slices for small apples.
Pour lemon juice into a small bowl.
Dip apple slices in lemon juice.
Lay apple slices on paper towels to drain and dry.
(This protects the apples from turning brown).
Preheat oven to 350°.
Place butter and granulated sugar in a mixing bowl and beat until well-mixed and fluffy.
Add eggs and beat for 3 minutes.
In a separate mixing bowl, combine flour, baking powder, baking, soda and salt; set aside.
Combine cooled apple cider with half-and-half or cream.
Add flour mixture alternately with apple cider mixture to the egg mixture in two or three batches.
Grease a 9x9” square glass baking dish with coconut oil or butter.
Pour batter into baking dish.
Top with apple slices (that have been swirled in lemon juice).
Combine ground cinnamon with remaining 3 tablespoons sugar in a small bowl.
Sprinkle cinnamon-sugar mixture over top of apples.
Bake at 350° for approximately 50-60 minutes, until a toothpick inserted in center comes out clean.
While cake is baking, prepare glaze.
Remove cake from oven and allow to cool completely before adding glaze.