The most common procedure used to treat this problem is called an otoplasty. It is a very safe procedure that involves a small incision on the backside of the ear with the placement of sutures to realign the ears into a more favorable position. I am not aware of any non-surgical or...
I would recommend an in-person consultation with a plastic surgeon to better address your concerns. He or she will address the size of your ear and discuss the proper proportions for you specifically. Best of luck to you, and I hope you get the result you desire.