game not saved in archive

Not automatically. You have to click save before you leave the game.
They only added the capacity to do that recently.

The game has to be completed in order to save. So it needs to end in a draw, loss, or just click the New Game button +, then the save option will appear.

They just added that feature on the web. It will probably get added to the apps at some point.

Yeah, my archived games stop around 4 months ago even though I've played plenty. I don't expect that they need to be bot games, since there's bot games on my profile so I don't know why they don't show up. I don't have any option to save or not save games, because I can't delete games off my profile either; I have no control over what is saved and it seems to have stopped entirely.
Any input would be greatly appreciated. Also if anyone knows how to find my comments afterwards. I get emails that people have responded, but I can't see the comments. I have to keep the forum page open and refresh it.
If you're talking about bot games, they don't save by default. On web you have to run a review or manually save them. On the apps, you have to manually save (I'm not sure if iOS has added the ability to save yet)

Every time I run a review of a bot game on the website it saves to the archive.
How are you playing the games? Website or app? If the latter, which app?

I use the Chess.com app. It's got to be a setting or bug. I don't expect it matters if it's wifi or data use, as I use both. I'm truly puzzled.
To clarify, you play a game against a bot and then what?
If you don't do anything else and leave the game, it will not be saved. If you run a Game Review, I believe it should be saved and if it's not, but I would need to double check with the dev team.