Your link says that they are still monitoring for safety: "This review process continues to monitor vaccine safety."
If they still need to study it, then it means that they don't know. They are not performing much study of the safety of orange juice, for example.
The website continues:
"Continuous monitoring for problems and side effects. Once a vaccine gets an EUA and is being given to people, the FDA and the CDC continue to watch carefully in case problems arise. Data on the vaccine’s safety record accumulates over time, as more and more people who receive it report on their experience and any side effects.
One important way to report adverse events after vaccination is through the Vaccine Adverse Event Reporting System."
Oh, but you guys don't want us to talk about VAERS because you don't like what it says and the US government's only vaccine reporting mechanism could be wrong.