ASA does not support PBR - not in the same sense as we support it on routers.
There was a plan to introduce in one of the future releases (AFAIR it's not going to be the upcoming 9.0 release). COntact your SE for details and/or building a business case to have this feature integrated.
There is a way to do poor man's PBR using NAT, but it's not a deployment I would recommend. You can divert all traffic on particular port out a certain interface (among others). If you dig in a bit you'll find examples - I believe there is also a supportforums document available by one of our colleagues in India.
Table of ContentsIntroductionVersion HistoryPossible Future
UpdatesDocuments PurposeNAT Operation in ASA 8.3+ SectionsRule Types
Network Object NATTwice NAT / Manual NATRule Types used per SectionNAT
Types used with Twice NAT / Manual NAT and Network Obje...
Table of Contents Introduction:This document describes details on how
NAT-T works. Background: ESP encrypts all critical information,
encapsulating the entire inner TCP/UDP datagram within an ESP header.
ESP is an IP protocol in the same sense that TCP an...