When user posts the any post from the app, then he wants to get count of the likes and comments of post I get that all count, but my question is when any one likes the post, Facebook provides any type of trigger on my server (can I get Automatically response of that post on my server.? )
Check out webhooks.
The Graph API has a feature called Webhooks (formerly known as Real Time Updates) that enables apps to subscribe to changes in certain pieces of data and receive updates in real time
If you cannot find what you are looking for there then it probably is not possible.