all we can do is set up an two factor authenticator and other security purpose things dont bother for a little hard to log in that is for your own safety.
I have even heard of few people getting hacked with 2FA activated because they hadn't securely stored their 2FA backup key. Use of dropbox or google drive to store such information and other login info/private key is unsecure.
2FA doesn't make login hard, you will get a state of relax mind with it but making proper backup and storing it offline is as important as activating 2FA.
Where and how we should store 2FA backup offline? in what form? On paper?
Or what you mean under backup, moving Google authenticator from 1 device to another?
Yes, you can write down the backup codes on paper, a note or a book, everything that you can access when you need to, and keep it somewhere safe.
My 2FA ever lost due to all of the data on my phone deleted, but I still can access all of the exchanges accounts with recovery code or just reset the code.
You can also change the device to another;
All you’ve got to do is go to the two-step verification page and click the “Change phone” button. Then either scan the QR or barcode, or put in the secret key on the other gadget manually. That’s it.read more here:
https://www.protectimus.com/blog/google-authenticator-backup/Nevertheless, the most secure way to store your coins is to keep it on a cold storage, which you can access anytime you want to, not store it on exchanges.