Currently, there are two hard coded marks in the system: Absent Due, and Absent Assigned - and for the parent view, this does not show the actual excuse types (ex. Tardy), just the hard coded marks.
The teacher can add notes in with the assignment in the Gradebook to specify that the student was Tardy when Due/Assigned that the parent can see, but to have the parent automatically see the excuse type (ex. Tardy) would be considered a feature request.
For more information on the AA/AD indicators in Gradebook, click here.