Hello,
First post. Hope to begin contributing. My TeamViewer ID is: [just kidding]. Couldn't resist. 
So I've been struggling with the Cloud Backup solution. I have a server that I've been trying to backup about 350 GB of data. At first it couldn't handle backing up live SQL Server files. Constantly failed for a couple weeks. Not too surprised about that honestly, with files that are 34 GB and constantly being changed, and the backup taking over a week. Contacted support and they said they were working on a database solution for that very reason. So I deleted the bad backup by uninstalling it from the server, reinstalled it, excluded the mdf/ldf files entirely and created a backup schedule on the server to create SQL Backup (BAK) files in a temp directory. The local SQL backup begins every weekday at 6 PM and it finishes in a little over an hour. TeamViewer Cloud Backup begins every weekday at 10 PM, to give the SQL backup more than enough time to finish on it's own. I received two failure notices, but I finally have a successful backup (suposedly).
I'm concerned about the size discrepancy between the real file size (right) and the size TeamViewer reports (left). I read nothing about compression in any of the documentaion or community and I would expect the true file size to be reported, or at least some note that the advertised size is a compressed size. Checking other small, non SQL Server backup, files also appear to be compressed.

Is that what's happening here? Are the file sizes shown in TeamViewer's MC compressed sizes on AWS?
Also, is there any documentation on the checks in place for the backup so I can feel comfortable that data is in fact being backed up? With all the failures I've experienced and the difference in file size I'm concerened. For example, does TeamViewer Cloud Backup perform a checksum of the uloaded file and the local file to ensure an exact match?