I've earned both badges over on Stack Overflow, and they did not exist until after I had already exceeded the 3000 rep level and had VTC privileges. There are still a lot of other ways that flags are important, though, and which contribute to your helpful flag count:
Flagging "Not an Answer" posts - If you check the recent posts list regularly you can ...
Until they were deleted, your question had net 0 votes and your answer to that question had net -1 votes. To get Peer Pressure badge, your post must have -3 votes at least.
Now I wouldn't encourage you to get this badge by making low quality posts. That badge is something that must not be a goal of anybody here. If you're into badges, there are plenty of ...
On all meta sites except for MSO, reputation is synced hourly between your main account and your meta account. Since this doesn't happen instantaneously, there is sometimes a discrepancy between the two rep values in between syncs. The other result of this is that votes on meta don't affect your rep.
Badges are not shared between the two sites. You earn ...
Hitting the upvote rep cap is not necessary for a given day to count towards those badges, you simply have to earn >=200 rep by any means. Taken from MSO's "List of all badges with full descriptions":
silver; awarded once; same family as Mortarboard (bronze), Legendary (gold)
Earned more than 200 reputation on 50 days
This almost already exists:
Gold Tag Badge
You must have a total score of 1000 in at least 200 non-community wiki answers to achieve this badge.
Silver Tag Badge
You must have a total score of 400 in at least 80 non-community wiki answers to achieve this badge.
Bronze Tag Badge
You must have a total score of 100 in at least 20 non-community ...