Usually when we say someone is rough we say they look rough, meaning that they look uncared for or scruffy.
Or they are not careful or gentle when they do things.
For example "The nurse was a bit rough with her when she took a blood sample" or "he looks rough this morning, I guess he was up drinking all night again" or to children, "calm down, you are being too rough with each other, someone will get hurt"
Tough can mean someone who is very strict, or is hard to beat. For example, 'the teacher was really tough on the students today and made everyone take the test even though they hadn't prepared for it" or "John Wayne always played the tough guy in the old cowboy movies".
As you see from the answers there are lots of different ways to use these words. Hope this helps.