Damon tells People:

”My wife and I introduced it to them at a very young age and they just don’t know any different. Luckily, I found out all three of my youngest girls love broccoli. There are times where I can’t get them to eat protein or a little piece of fish because they are going crazy over the broccoli.”

So, there you have it. That explains why those children love them some broccoli. Now if you’ll excuse me, I’m going to choke myself while masturbating.