Recently i faced this issue that even after the successful deployment of vSphere Replication Appliance it's not listed in SRM UI. After struggling with issue i came with this solution that i would like to share with everyone.
For resolving this issue:-
1. I opened the web browser
2. Then i provided the https://vSphereReplicationApplianceFQDNorIP:5480 to access the VAMI (Virtual Appliance Management Interface) of appliance.
3. Then i provided username and password: Username = root, Password = As per your configuration
4. Then i opened the Configuration Tab and Started the VRM service
5. Click on Logout and closed this Web Interface
6. Bingo!!!! Now my vSphere Replication Appliance is listed in SRM UI