In short: Contact the developer of the application, but don't get your hopes up.
Unfortunately, in this day and age of protected memory and whatnot, we more or less have to be content with what the applications give us to work with.
However: You are not entirely without recourse. Using F-Script you might be able to attach to the process and cause some controller or other to emit notifications that you can capture and log.
Edit: If, as appears to be the case, it's a Carbon application, you are well and truly hosed:
- F-script and similar is unlikely to be possible.
- Even if it is, trying injection on a Carbon app, that is to say, a C++ app, is likely to be an exercise in futility and disappointment, if not completely impossible.
- Seeing as how Carbon is deprecated (and how!), the application is unlikely to be updated with a proper API for that sort of thing.
- All of the above.
Reedit: One tiny little aber; it is possible, although unlikely, that you can achieve something using Interface Scripting, but again; I wouldn't get my hopes up.