Is there a way to see if any of my games have made the puzzle trainer?

@UnsoundKingSacrifice
a) There are 125.272 puzzles available.
b) No, the puzzles don't get erased.
c) You can't find your own puzzles.

More about puzzles here:
lichess.org/blog/WDY6cCEAALYi5Xg2/puzzles-update
(from 2016)
and here
lichess.org/blog/U4sjakQAAEAAhH9d/how-training-puzzles-are-generated
(from 2014).

@Cuxhaven Thanks for all the great information. Saying I "can't" find my own puzzles seems doubtful since I can do puzzles without being logged in. It's also equally doubtful that I ever will because I don't plan on looking and I don't play much.

For example I can type @huutrang93 or @tranbichthuy
and they would find (assuming they check their notifications) they were part of the puzzle lichess.org/training/3868

Neither of these guys have been on for at least a year and I think that might be the most popular puzzle on the site. All i'm saying is it has to be possible even if its a huge wast of resources.

@Cuxhaven

How does that work with the computer analysis? You said the other players games wouldn't make the puzzles as there is no analysis for many of them. Does the analysis only exist if one of the players in a game runs it after winning or losing?

@The-Chess-Death-Cult
Not only but the very most of the time.
The other possibility is through the analyses automatically generated by Lichess to defend against cheaters.

I see lots of games that have been turned into puzzles that don't have the computer analysis we can create. Presumably there must be some computer analysis in the background for the bot to do its thing (unless some are manually generated)

We aren't making any more puzzles at the moment, and haven't for a while. There's no point adding a notification system.

@Clarkey
thanks for your answer.
One more question if allowed:
has the development for the puzzle trainer been completely stopped?
If not, is it possible to accelerate the development with an extra donation?

For all practical purposes development on puzzles has ceased. We don't have any plans to expand its functionality and it is not a priority for us.

I'm doubtful that donations will change that, but it couldn't hurt to send and email to contact@lichess.org and seeing what can be done.