I don't use Matlab Drive at all, but if it works similarly to Google Drive and OneDrive there will be an option to choose where Matlab Drive physically stores the files on your hard disk?
If that's the case you can just set that folder to be inside your Google Drive folder and it should work.
This isn't really integrating them though, it just wraps your Matlab Drive inside Google Drive which sets you up for all sorts of problems in the future.
You should consider just using one or the other; why do you need both for your Matlab functions? I have used Google Drive for a long time with no problems. Or instead use something like GitHub which can be integrated with Matlab now.
Hope this helps,