how are you supposed to do it? or, how would i do it?
i like my knives to be users, so i would just sand off the rough edges with some fine grit sandpaper. that's really just so it doesn't feel weird. you can then oil it to see if that suffices.
if you don't want to be able to see the damage at all, that may be a bit of a different answer. folks talk about mixing thin CA and (matching) "dust", spreading that on, then sanding. that helps to fill the voids better. i've done this a couple times with mixed results.
though, it appears that you've just scuffed it. so, the fine abrasive and oil may be just fine. if you go this route, start with the highest grit paper you have (e.g. 1000). obviously, you don't want to take off too much handle, as then it may appear to be uneven. then, i would have to either do similar to the other side, or just throw it out. lol.
but, please take this all with a grain of salt. what is acceptable to me may not be to you.
i am interested in hearing other responses....ya know, from someone that actually knows what they're doing.
EDIT: heck, you could even just see if a scotchbrite and a bit of oil makes it look any better. maybe start there?