I burned my face with lactic acid at home, I have ugly burns on my face how can I heal them?

What you have been doing may be adequate to help these burns, depending on what else is in the products you have been using. If I were to pick one, I would go with just the aloe vera if it is pure. However,a better option is an antibiotic ointment like Bacitracin, Polysporin, or something similar. After you are healed, Do not go back to doing home peels since, as you have learned, they are dangerous. See a skin care professional in the future.