Motivation - Statements generated from different Moodle courses can be sent to the same LRS. Once stored, there should be a way to differentiate which course a statement references.
Specification - In the generated statements, add a field that identifies the course, possibly wiht a course id or course home page link. This can either be done in the actor section, linking the actor to the course, or in the object section stating to which course the activity belongs to.
Finalised state - LRS consumers can easily identify to which Moodle course a statement belongs to, based on the data within the statement itself.