The action table used for recording Emma actions shouldn’t be something you need to actually access. That table is just in the background to hold the data that is fed into your Emma Mailings tab and the response data on individual lead/contact records.
What errors are you seeing that you’re looking to understand? Is something with the functionality of the integration not working as you’d expect?
If so, we’re happy to dig in on what’s not syncing reliably with those details! If you need us to do any troubleshooting in your Salesforce installation, please first GRANT SUPPORT ACCESS and let us know.