Difference between puzzle rating and live chess

Im 1300 rapid and 2200 puzzle

This is the story of my life!

Peak rapid rating was like 1280 and I'm 1800 at puzzles

hey guys, i'm currently 900 elo, 1900 peak problems, how can I claim my 1000 elo back pls?

Actually this is not correct.  Check out the top puzzle ratings. The top ratings are 65,000, 50,000 and 50,000.  A puzzle rating of 2000 means you are terrible compared to people who are world class at them (assuming they aren't cheating).  They only resemble "real" ratings if you ignore most of the data.   Just don't compare them beyond higher scores are better.

i got my 3600 puzzles pb legitimately by scoring 67% correct on 11,000+ puzzles over hundreds of hours of solving time... i never once put 'pencil to paper' & my average game stat rating is probably about 1700 across the board.

thats exactly im lacking at, also im down 2 2700 again.. so 

Assuming they aren't cheating. Considering these leaders' solving time, it seems they don't spend hours on every puzzle, so I don't know how they actually do. FMs usually do not reach those levels, they are just above 3000 on average.

Bullet peak 2184, puzzles around 3000.

Nah im like 1100 but Puzzles 2200

Im about 300 bullet and 2200 puzzles...

That is a huge gap... Now I just had à quick look at one if your loss (last rapid game at this point) and I think you should learn about opening principles (control, centre, develop knights and bishops first, king safety...) because you develop your queen too early when your king is not safe and you lose (may be you can play the Italian or something). But if you can have 2200 in problems you should reach 1000 in games  easily.

Many people are also cheating in puzzles and it's no way to prevent it. Some also specialize on tactics or even are solving so much that they have many problems memorized. In general I think the difference is about 1000 points between puzzle rating and playing ratings.

cheating is irrelevant here cause if we don't assume that nobody is cheating this topic serve no purpose, though I am convinced what you said about memorizing patterns is true, I take myself as a witness of that

We can simply consider common gaps of about 1000 points, as @marekihnat says, and ignore extremes, but that doesn't solve the main problem: you can stay on a puzzle a few seconds or an eternity and that makes a difference; one can have the same rating of another player, who is in fact much better at tactics, because he solves puzzles more quickly. Time constraints are necessary to give a measure of a player's tactical skill during a game; only then we could compare that tactical rating with the actual game rating. So these puzzles are useful to train our tactical skill, but not to measure it imho.

AFAIK memorization plays a major role in such cases. Doing puzzles so many times that they begin to see the puzzles again. People who take really seriously will even make courses in Chessable (private) to drill difficult puzzles. At least I know once guy doing this. I memorized something like 3000 puzzles in Chessable, but from Chessable courses. My goal is 5000, then I will stop learning new puzzles and focus on middlegame, opening and endgame.

Im now 1100 in blitz rapid and bullet

but 2400 in puzzles

Strong in puzzles, in rapid you should get soon 1300. Are you reviewing your games?

804 rapid and 1611 puzzle. Any tips on how I can improve my rating?

Go to Chessable and learn following books:

Common Chess Patterns (tactics, very good course)

Basic Endgames (for free, excellent book)

After you learned well these books (you have to practice every day until all positions are marked as “mature”), you can go through Smithy’s Opening Fundamentals. 
After you learned well these 3 books you will be at least 200 points stronger. Good luck!