There is a way in Jira to simply "Archive" an issue regardless of the status it is in. As I understand it, the Status being Open vs Open or Archived in Unito refers to the type of the Jira status, and not at all to whether the issue is Archived or not. It would be nice if I could capture whether an issue is Archived or not in my rules for syncing. Attached is the menu option to Archive an issue in Jira.