Hello,
You would need to make a custom scheduler and then add this to your "Scheduled tasks". Basically your custom scheduler would need to check the ip address, or the name of your server. If the ip address or name matched, your custom scheduler would then sync the changes from staging to production. If the ip address or name did not match, then nothing would be synced. The link below contains a example, please see the section of code "Get the server"
Example Link:--Eddie