I've just tried running titanium backup on my Find 7a and it is working fine. For verifying if you device is rooted, go to the app "SuperSU" and run it. If you can't see the app or it gives an error, then you are not rooted.
I can see the SuperSU app but when I open Titanium backup it keep prompting me to tick USB debugging which I cannot locate it in the phone.
I thought after rooting the ColorOS version will be 2.0 but it is still the same, also what is the benefit after rooting?
Sorry as I not very familiar with it.

