It says I've done all the achievement/badges ingame

@amaliepus  First of all, not all badges correspond to in-game achievements.  There are a few related to sharing memories, adding friends on the store page, having your gallery uploads recommended, etc.  Additionally, a few badges were apparently time-limited and have ended.  I'm not sure exactly how many badges are for game-related achievements and are still available, but you can sort your list by completed/incompleted and count.

One other thing to note is that if you load the game with a pack deactivated in the launcher, the unearned achievements for that pack won't show up in-game.  (I'm not sure whether the completed badges would show, but certainly the uncompleted ones don't.)  So if you were, for example, starting a new account—no achievements—with just the base game active, you'd only see 70 badges total.

Having said all that, it's also possible that your ChallengeData.package has become corrupted.  Not seeing all available badges is one sign of this; another is not receiving a badge after completing the requirements.  You can create a new one, if necessary, although you'll lose all of your progress towards the badges you haven't earned.  Your existing badges will stay intact, though.  Here's how to generate a new ChallengeData:

https://forums.thesims.com/en_US/discussion/comment/16527415/#Comment_16527415