Do you mean you have no description of the badge (short or long) itself?
The link you mention… is that a post the person made that you believe should be recognized as the reason for awarding the post?
When you make a custom badge, you should add what the badge is for. Then give a long(er) description of what the badge is and why it’s awarded. You can also check the box below the description so the badge notification will show the post that earned the person said badge. You can also stipulate that a badge can be earned/granted multiple times (depending upon the qualifiers for the badge).