You will have to wait intil you actually qualify for the CM title and the apply for it with FIDE. Some federations handle that part but yours may not. If not, you will need to apply for the title and pay the fee to get it.
At that point, you'll be able to start the process here to get the title recognition.
I have a rating that is close to getting CM title but chess.com says that if you are to be a titled player, you have to own some FIDE documents that show that you are a titled player. How do I get them?
Thanks,
FM_iamawsome