Right now, we have the "annotated", "approved" and "not approved" filters. Using two filters, for example "approved" and "annotated", will show us documents that are both annotated and approved, but this can be confusing for clients, especially since the default view is only non-approved documents, yet the counter counts unapproved + annotated documents. Users therefore can't see some documents counted by their documents counter by default.
Please find the statuses and what they mean:
Approved: Whether the document was annotated or not, once it is approved, this will be his status. Approved can seen as "managed", which means that it was consulted, and if annotations were required, they were also done.
Annotated: This is a pending state where someone has annotated a document, but might come back to annotate it, or someone else might come back to approve it. The reason why this status exists is to let people save and edit their annotations if they required information outside of the Documents section, or if e.g. a nurse annotated a document the physician still needs to review and approve.
Not-Approved: Status letting know users that they have new documents to manage.
Unless I am mistaken, the default statuses displayed should be Not-Approved and Annotated. The reason for that is that both statuses mean that the the document was not or only partially managed.