Might seem like a bit of a workaround, but check out the solution I'm using. Parts of it might be helpful to you.

I'm a diehard Evernote fan...it links nearly seemlessly with many of my phone apps. I have an iphone and use the Evernote based scan app called Scannable - is there an android equivalent? The beauty of Evernote is that once I upload a note or file (or photo or web page or anything) to my Evernote cloud, then behind the scenes Evernote automatically does an OCR scan of my document, which makes Evernote incredibly searchable for future retrieval. As such, I use my Evernote cloud as a repository for everything - from W2's to my wife's recipes to my travel packing checklist.

However, Evernote does have a monthly upload limit, and it is kind of a pain for batch pdf file downloads (ie, sending all my 2015 tax related documents to my accountant). I find that Dropbox is far more useful for strict document management. Plus, my subscription to Dropbox doesn't have any upload size limits, and is much faster at upload/download than most other cloud based apps I've used - as such, it even beats Google Drive. However, to be useful, Dropbox sort of requires that I impose the discipline of structure upon myself, whereas Evernote just lets me dump stuff in there free form - actually, I do use a variety of "notebooks" to help organize Evernote, but I don't stress to much about it, since every file or note I upload to gets that automatic OCR scan.

Anyway, I was kludging along with a mishmash of Evernote/Dropbox - as well as Google Drive - when a rather deep dive google search finally landed me on CloudHQ. Check it out at this link.

I have been amazed at how well CloudHQ seamlessly syncs my Evernote and my Dropbox clouds. I'm sure it would do just as slick of a job at syncing Google Drive with your OneDrive account. It's true that Google Drive and Evernote (and to a slightly lesser degree, Dropbox) seem to be integrated with MANY mobile apps for ease of saving and uploading files, whereas OneDrive isn't as common. Maybe you can just save files to Google Drive on your phone, and then use CloudHQ to sync with OneDrive.

In my case, I have very different reasons for why I like both Dropbox and Evernote, so it's well worth it to me - and doesn't seem like a wasteful redundancy - to use CloudHQ to keep those clouds synced with each other.

Also, for full disclosure, my Dropbox account has a 1TB limit, whereas my Evernote account has a monthly 10GB upload limit. Thus, my Dropbox account is too large to sync in an identical fashion to my Evernote account. However, after my initial selective sync setup, I now have it worked out where I upload everything to Evernote, and it gets synced in mirror fashion to Dropbox. I also used to use a Google Drive account, but that actually really WAS redundant with my Dropbox account. So...once I discovered CloudHQ and got all my files synced between Google Drive, Dropbox, and Evernote (CloudHQ is capable of syncing multiple cloud accounts), I jettisoned the Google Drive account.