When you just do a search for broccoli (and other veggies, I assume), it automatically give you the values for it being cooked with butter or other fat.
To solve this, use the "browse foods" tab instead of search, find vegetables; I think broccoli falls under "dark green nonleafy vegetables." Then you can find whatever is most accurate, such as cooked, from raw (or frozen, or whatever), prepared without fat.
This, IMO, is one of the biggest bugs in the FD food list.
However, FD is undergoing a lot of changes and improvements lately, so this could be different in the near future.
And now that you don't have to be perfect, you can be good.