I don't have parakeets, but I have two precious cockatiels who absolutely LOVE veggies, however, once upon a time, they didn't touch them. The way I taught them............I used to put brocolli in a plate and sit down next to them, and put the plate in front of them. I took a piece and ate it in front of them and said "mmmmmmmmm, yummmmmmmmmy!" They gave it a try and didn't like it. I did this everyday for about 3 weeks, until finally, they started eating! After they got used to brocolli, I tried other veggies with them, and they tried those right away. I takes patience, but hopefuly they will learn. I taught my friend's parakeets to eat veggies for her, but from my personal experience, the cockatiels learned much faster. Good luck on teaching your birdie the benefits of veggies. And btw, welcome to this board.