The vaccines weren’t rushed through, all went through the standard phases and quantity of testing as are usually used to determine safety.
Find information about vaccine development and testing and the vaccine product approval process.
www.cdc.gov
The differences were that there was massively more money being thrown at all of them (several still failed the clinical trials if you recall because they were not up to snuff). Once past animal trials there were a lot more volunteers for the human phases and the disease was so rampant that the sample sizes to determine safety and effectiveness were reached much sooner than usual. The manufacturing was also done in parallel to further reduce the timeline.
“The vaccines were rushed through” is one of the most pernicious lies of the anti vax movement, please don’t give it any further oxygen.