The Free/Busy informatin is stored in mailbox. We cannot get the solution from Outlook client site.
If you want to sync the Cross-Forest Free/Busy, this article may help you:
http://blog.exchange-addict.com/2012/11/cross-forest-freebusy-simple-version_13.html
Or you may use 3rd party software such as Dell's solution:
http://www.quest.com/collaboration-services/
Note: This response contains a reference to a third party World Wide Web site. Microsoft is providing this information as a convenience to you. Microsoft does not control these sites and has not
tested any software or information found on these sites; therefore, Microsoft cannot make any representations regarding the quality, safety, or suitability of any software or information found there. There are inherent dangers in the use of any software found
on the Internet, and Microsoft cautions you to make sure that you completely understand the risk before retrieving any software from the Internet.
Tony Chen
TechNet Community Support