I've seen a few similar problems here on StackOverflow but I haven't found 1 that fits what I need.
Here are some I've looked at that don't seem to solve my problem:
How to move files from one git repo to another (not a clone), preserving history Moving Git repository content to another repository preserving history
I have a repository on Bitbucket that I have added to Github. However the one on Github retains it's own history. How can I import the history from the original Bitbucket repository into the Github repository without touching the files? Both repositories already exist.