I think if you involve children in food preparation, they are more likely to eat their vegies. You can also try getting them to grow some vegetables or herbs. If the kids are too young, then perhaps making their meals into pictures using vegies may help.
Presentation is very important and including them in the preparation process helps too. Go one step further and get them to grow their own vegetables and I guarantee they will eat them straight off the bush/vine/tree. This gives them ownership and it is fun to watch plants grow and turn into something wonderful to eat.
That's unfortunate. It just makes good sense to model healthy eating to one's own children. My uncle was telling me about a time he took his girls camping. They went with another family—friends of theirs. Anyway, he prepared something with fruit and veg for his girls to eat, and the children of the other family asked what the heck they were eating! Now that is sad.