The entire controversy was started based largely on the correlation between autism symptoms appearing and first vaccinations, which are correlated because those things just happen to happen at the same age.
Andrew Wakefield came out with a study appearantly proving this and it threw gasoline on the fire. However, if you actually read the study it's like "these parents reported they thought their kids got 'tism after getting vaccinated" and it later came out that the parents were cherry picked from an anti-vac group and they didn't say this consistently enough to make wakefields point so he just modified all their answers. Also, his theory was that it was the measles part of MMR that was causing the problem, and inexplicably claimed that seperate vaccines would resolve the issue without evidence, and it came out that he secretly had a patent for a seperate measles vaccines and never disclosed this conflict of interest.
Evidently if vaccines play any role in autism, it's minor, as autism rates have skyrocketed irregardless of variations in the vaccination programs of the area people are getting diagnosed with autism. Nothing really shows this link anyways. Also since the 90s, autism research moved the fuck on from muh vaccines and it's thought now based on twin studies and genetic studies to be due to a combination of genetic factors and epigenetic factors (advanced maternal age for instance is far more linked to autism than vaccines, so is having a father that's an engineer). Vaccine fucktards found their truth in the 90s and can't move on.
The best evidence I have found in decades that maybe, in the cases where a child has a mitochrondrial disorder, and that child has vaccines delayed to the point they get all their shots, it's POSSIBLE that vaccines resulted in symptoms resembling autism enough to spook the government into settling.
https://www.cbsnews.com/news/family-to-receive-15m-plus-in-first-ever-vaccine-autism-court-award/ 
