Please have in mind, that what you can do when injured by defective beauty products entirely depends on the country you live in. We will talk about some general options, but the best thing for you is to contact attorney, based on the state you live in, for example, Los Angeles criminal attorney.
Whatever the defect is (the design of the product, manufacturing process, marketing defect etc.), the consequences can be very dangerous and because of that you can seek compensation from the manufacturer, and others involved in the chain of commerce involving the product.
In lots of countries, there is something called Consumer Protection law that protects you. This law gives consumers the right to request compensation for the defective product and also to reimburse the cost of any physical damage caused by the defective product. Also, manufacturer can be held criminally liable for defective goods which can cause personal injury and are unsafe. If you have been injured by a defective product, you can claim compensation under the product liability laws.
So, if that happened to you, the first thing to do is to contact a lawyer and go over your options. There is too much variability in situations and types of liability the manufacturer is responsible for. Also, laws about this can vary a lot by state, so you really need an expert on local laws. Most attorneys will probably offer you a free consultation, so you can explain them the situation and see if they can do anything to help you.
Product liability lawsuit is pretty complex and only a skilled and experienced lawyer can prove that someone else is liable for your injury and that the product caused your injuries because of a defect.
I hope this helps. If you have anything to add, feel free to share it in the comments!