There are no accepted criteria for diagnosing autoimmune diseases due to vaccination, autoimmune diseases start long after vaccination and it is difficult to conclude a causal relationship. Vaccines contain adjuvants, preservatives, antigens and other ingredients, each of which can cause or exacerbate autoimmune reactions.
The authors injected 40 children from hepatitis A, and 25% of them formed autoantibodies (antibodies to their own antigens), one developed temporary leukopenia (with izhenie white blood cell count). One year after vaccination in two children still identified autoantibodies.
Those who did not have measles in their childhood (or had a sick atypical, without a rash, like after vaccination) had an increased risk in adulthood: 1) immunoreactive diseases (autoimmune diseases due to an infectious disease),
2) skin diseases (dermatitis, eczema, etc.),
3) degenerative bone and cartilage disease (osteoarthritis, etc.),
4) oncological diseases.
If some vaccine component is similar to a protein produced by the body itself, then once the immune system learns how to react to the vaccine protein, it may also learn to react to its own protein (the one similar to the vaccine protein) in the same way. This is how one gets autoimmune disease. This phenomenon is called molecular mimicry.
This article explains the mechanism of molecular mimicry between tetanus toxoid and IgE receptor, which is probably what leads to an increased risk of allergies in vaccinated people.