Components don't update after transfer to a different account

I want to transfer files between two accounts. Even after I log in to both accounts, no direct transfer seems to be available. So I exported to local .fig files from Account A and then imported into Account B. But even after manually enabling library for each of those files, components do not update between the copies in the new account. I have tried multiple workarounds to no avail.
Is there a better method to move files between two accounts? A method that preserves the library linkages?