If a plugin is installed, up-to-date and activated you will see the Installed button beneath it in Astute Manager.
When you install our plugins they won’t show up in Illustrator automatically, they will be added to your toolbox panel in Illustrator. If you do not see the Astute Graphics tools in the toolbar, please ensure that you are using the advanced toolbar by selecting Window > Toolbars > Advanced. You should be able to tell if a plugin is installed by checking the Illustrator, Window and Effects menus.
Please also ensure that you look for new instances of Ai in the settings panel of Astute Manager (advice on this here).
For further advice please see How do I install with Astute Manager? and I'm having problems installing, what should I do?