You need to use nitrile gloves that are at least 8mil thick. Even then, all nitrile gloves have a finite time before the protection barrier breaks down - between 10 minutes to 30 minutes, depending on glove manufacturer and thickness. One option is to wear two gloves per hand - so called double gloving.
However, the real problem is that you have developed an allergy. So the best course of action is to get your GP to refer you to a dermatologist who can make a patch test - this will identify which chemical ingredients you are allergic too. With this info, you can look for products that don't contain these. This may include HEMA as mentioned above, or it may not.
If you find alternative products, you will need to change the way you work or there is a high risk of developing an allergy to new ingredients. That means double gloving, wearing clothing that avoids dust contact with the skin, and ideally buying a good dust and chemical vapour air filter system. You should also make sure that your mix ratio is correct - a major cause of allergies is uncured acrylic dust.
Once an allergy develops, it is for life and additional allergies become easier to develop. So just changing to new products without changing how you work, will only solve the problem for a while.