I agree with Bart's comment here
Maybe passing audits should be part of the higher badges. Fail 2
audits and your progress towards the silver/gold is reset, or
something similar. – Bart 1 hour ago
But I would go further and change the Reviewer/Steward Badges to something like:
Completed at least 250/1,000 constructive* review tasks. (*No Action Needed Not Included) This badge is awarded once per review type.
As mentioned in other posts on this problem the robo-reviewers tend to just hit the no action needed button to try and fly through as quickly as possible.
My understanding of badges, is that they are used to encourage behaviors that benefit the community.
When does "No Action Needed" really benefit the community?
Note: I'm not counting not creating additional problems as a benefit...
- If a post is good up-vote it.
- If a post is bad: down-vote, edit, leave a comment, and or flag.
- If you're not sure: click Skip (Not no action needed)
To better illustrate my point a gratuitous freehand circle-

I know there are cases when there doesn't seem to be any problem with a post, but you don't feel it warrants an up-vote, hence the No Action Needed button, but should we be handing out badges to people who just hit the button 250 or 1,000 times?

In response to those who worry about the robo-reviewers changing tactics and up-voting instead, why not set up an automated flag to trip whenever someone uses the same review response X number of times in a row.
As in:
- Up-voted in review X times in a row: Flag
- Down-voted in review X times in a row: Flag
- No Action Needed in review X times in a row: Flag
- And so on...
Of course we wouldn't want to auto-ban people who tripped a flag in this way, there is an outside chance that someone really did run into 5 or 10 posts of the same quality in a row, but as its unlikely, it would be an easy way to spot troublesome review patterns and bring them to a moderator's attention.
If we can catch things like vote fraud with an automated process, why not try something similar with robo-reviewing?