Based on the other pictures you posted, it looks like the tank and/or the badge were also damaged when the bike went down.
The badge and tank appear to have different shapes.
If true, your kind of stuck. A new badge might not lay right and no badge might show a dent.
Don't shoot the messenger....he's been there and lives with it.
To me it looks like someone glued right side badge on to the leftside, and viceversa...
As a matter of a fact I can definitely see on this picture there is right side badge on
your left side of the tank...
After blowing up the pic provided, it appears to me that the glue/adhesive has simply failed, and is now lifting and no longer sticking to the tank surface. As I stated earlier, I think it would be best to remove the badges altogether. In fact, just remove one of them, clean up of surface, step away from the bike, and look at it to see if you like the look of the bike better without the badge. If not, you haven't lost anything, because at worst you're going to have to replace them anyway, if you decide you like the look of the bike better with the badges on the tank.
I removed and then replaced mine to respray the tank.
Simply remove using some fishing line or similar then remove the sticky stuff from the badge and replace with some quality (3M) double sided number plate tape.