resolved the problem
I have resolved the problem.
It was due to the fact of 2 configfiles in the directory, awstats used the very old one instead of the new edited version.
So it was just a "stupid" mistake.
As in Apache, awstats looks in the /etc/awstats directory..
as far as I discovered with litespeed awstats looks into the cgi-bin dir of the virutal host.
Sorry for the inconvince..