You can use VMware Live Site Recovery when protecting virtual machines on sites that are configured for Storage DRS or Storage vMotion if you follow certain guidelines.
The behavior of Storage DRS or Storage vMotion depends on whether you use VMware Live Site Recovery with array-based replication or with vSphere Replication.
For information about how VMware Live Site Recovery handles datastore tagging for Storage DRS, see http://kb.vmware.com/kb/2108196.