When I first got budgies, I poured hours of research into keeping my budgies healthy and happy. I noticed that veggies are one of the most important part of their diets (and the hardest to get them to eat!). One day, I stuck a piece of broccoli in between the bars right next to them perches. They quickly flew away in a panic and avoided the foreign object. So, this is my tip for how to get your budgie to eat broccoli.
Sweeten the Deal
My birds' favorite treat is seed. I needed them to understand that Broccoli=Yummy! I coated the head of a human-bite-sized piece of broccoli with a drop of honey (no more than a drop or the budgie's mouth could get sticky and make it difficult to breathe). Then, I dipped the honey-covered piece of broccoli in a bowl of seeds. The broccoli should have a hefty amount of seed stuck to it. Now, you either hand-feed the broccoli to your bird or stick the broccoli in the birds cage right next to their favorite spot.
Now, feed this to your bird(s) once a day for two days so they know that broccoli is where you get the good stuff.
Then, you slowly add less and less seeds to the broccoli when you prepare it.
Then, you should just have a honey-coated piece of broccoli.
Finally, you should be able to feed you budgie(s) plain broccoli.
*If your budgie eagerly tears apart the broccoli in any point of the process, you can start to just feed the bird plain broccoli.
*Always rinse veggies thoroughly before you feed it to your bird(s)
*Make sure that the veggies are not spoiled
*Remember, you do not want honey/seed-covered veggies to be your endgame. Your goal should be to feed your bird "untreatified" veggies.
Thanks for reading!