Please do that.
We have to start small at this point:
EGroupware-mail is a normal IMAP-E-Mai-Client like Thunderbird.
You create an IMAP mail account for your mailbox there.
EGroupware displays the folders that exist in this mailbox. Nothing more first of all.
Which folders the incoming mails go to is determined by your mail server. Not EGroupware.
There ist nothing to Synhcronize with Outlook. Your Outlook display the folder in the Mail-Account.
Is it possible that you get your mail via POP3 from your mailbox with Outlook?
Outlook… Please post hardcopys.
Why are you doing this to yourself with Outlook???