Sorry about that. I'll try and clear things up, I'm not a teacher but a native speaker.
I was trying to say that 'produced' is the correct word to use in that sentence. 'Many products that are produced organically include vegetables, fruit, herbs, grains, meat, dairy, eggs, fibers, and flowers'.
In the UK (probably elsewhere as well) produce can mean farm related goods eg. eggs, grains and vegetables etc. So the items on the list would be called 'produce'.
If you wanted to use the word 'produce' the sentence would read - Vegetables, fruit, herbs, grains, meat, dairy, eggs, fibers, and flowers are all examples of produce that can be produced organically.
I hope this helps.