Backing up with date ranges

Hi,

I have a large main external hard drive and several smaller back up external hard drives. The smaller external hard drives can each only back up certain portions of the bigger external hard drive. I am looking for a way to automatically only backup files of a certain date range to each smaller hard drive.

For example, the backup that I am currently trying to do: I want to back up the main large external hard drive to a smaller external hard drive , but I only want it to back up files modified after Sept 1 2016 to this smaller external hard drive.

Is this possible? How can I do this?

I thought it might be possible with CCC, but their developers said they don't support that function. Is there any other software that can make it work? It seems like it would make backups with these smaller hard drive a lot easier in the future.

I'm guessing that there isn't any good solution to do this now?

Or is it just that i didn't explain it well enough?