[QUOTE 4851939, member: 45"]Is it wrapped the right way? I can't remember which way it's supposed to go.[/QUOTE]
Opinions vary but the top bit looks OK to me.
As others say, it looks like it wasn't pulled tight. I dislike the modern trend of tape-destroying adhesive on the back of the tape which seems to make it more difficult to pull tight and have switched to non-adhesive tape. So far, so good.
If you're consistently holding behind your hoods, that can push the bar tape forwards more quickly and suggest it may be worth trying a shorter stem, but that tape still looks too slack.