Hello Raajkumar,
Unfortunately, Sharepoint does not write back to AD, and AD will not write permissions to Sharepoint unless the AD group is a member of a current Sharepoint group. If you want to sync the AD and Sharepoint permissions, add the AD group to Sharepoint. You will not be able to see who is a member of that group from Sharepoint, but any time a new user is added to the AD group, they will be pushed to the Sharepoint site as well. Hope this helps.