Hello,
I noticed that some of my addons are not compatible because of the version of the server we have in the studio. Is there any documentation on the 2.0 server to see the changes and how to update our current server?
The uploaded image seems very small somehow making it hard to see which addon is mentioned to be incompatible. Can you provide more details here?
Pretty sure there is no server 2.0 yet. 
I was attempting to update the core addon to 1.5.2 but it says it is incompatible with the server 1.8. I will add a better image
I see. So yes, this is correct.
In this case you need to update your AYON server itself, which for most mean updating their dockerized container. Which is usually along the lines of what the documentation describes:
The image says that the addon needs AYON server with version. Higher or equal to 1.8.4 and lower than 2.0
2.0 doesn’t exist yet