Not all parks and natural areas located in Broward County are owned and/or operated by county government. There are 31 municipalities within the county, and most have their own parks and recreation agencies. There are also two state parks: Hugh Taylor Birch and John U. Lloyd.
If you are interested in a park and it is not listed on the County Parks page, it is probably a city-operated park. Here are relevant links for the parks and recreation offices of the municipalities in Broward County:
For your convenience, here are the links to the Palm Beach and Miami-Dade county park systems.