Hello Kiran Yes you can restore the DB backup on same / Or higher version of SQL Server . it doesn't matter what O/S you are running .
However you can not restore DB on to a downgrade version of SQL Server . for instance SQL 2012 DB cannot be restored on SQL 2005 or SQL 2008 .
For Supported versions please find the details below.
Backing Up, Restoring, and Migrating Your Orion Database
let me know if this helped