[mothered]

What could have happened?

You've only mentioned the details below, which can be Interpreted In many different ways, hence It's Impossible to pinpoint what went wrong.

The courier to whom I delivered the package with LIT method took charge of the package and did nothing from there. Tracking has never progressed from that day.

And What should I have done in your opinion?

Get In touch with the company asking precisely where the claim stands.

It would've given a good Indication of previous and current developments, and possibly where the claim Is heading.