Your right about keeping them as pets but I still to want breed parrots everyone has to start to start somewhere you didn’t probably know a lot about parrots your whole life and I’ve read everything I could about breeding Green Cheek Conures and hand feeding and everything else I’m not gonna breed my current pair but maybe someday in the future I’ll try a different pair so thank you for your comments I’m not buying know more proven breeders you’ll probably have the same chance with ones that ain’t proven breeders what I think so thank you again
I was waiting for an explosion when you said that - and am a surprised nobody blew up in your face.
So you have 1 pair of parrots in a cage ... what else?
Buying birds is the easiest step in parrotkeeping.
Do you have the things mentioned in the previous posts to keep the adult birds alive as well as any young ones.
(No idea where on this planet you live- but overhere its illegal to pull chicks from under the parents and handraise them-- and that really will cut in potential profits- no more than 2 rounds a year if you must let them fledge naturally, maybe even just one, depending your seasons)
If you are not handraising them...where are they going to grow up? Is there an aviary in you back yard where they can learn to fly and develop correctly? If you are going to handraise them...where can you keep them?
Reading up on stuf only gets you this far- you needs hand-on-experience and a teacher - go work with a real breeder (if they let you).

I once spend a lovely part of the morning talking to someone claiming to breed hyacinth macaws (amongst other parrots) and guess what ... my african greys are still NOT mating -> that is exactly how far theory will get you.
If you are really, really desparate to breed them: build the largest aviary you possibly can, fill it with males of the right age. Build a smaller aviary inside for the female and let her choose one.
(and hope they choose each other)
but.. maybe still nothing will happen because your cage isn't big enough, maybe your food isn't exectly right, it's too dark in your house, not enough peace and quiet, the perches not the best diameter etc.etc.etc. (the list is endless)
ps
I do not want my CAG to produce young, so I am happy- I just want them to be parrots
It is a *huge* time, space, material and money-investment for dubious profit.
Why not just enjoy your birds?
(chances are prety good you'll never see a dime)