Francis –
Our Organic Weed & Feed is derived from corn gluten meal which inhibits the growth of a seed’s tiny feeder roots. This causes the weed seedlings — actually all seedlings — to die before their roots ever have a chance to become established. It is important to note that this product only works on new seeds that may be in your lawn. It does not work on perennial weeds — like dandelions — that may already be established. However, it will prevent new dandelion seed from becoming established.
Avenger Weed Killer is non-selective and works via dehydration. As a result, it works best when applied during the heat of the day and during warm dry weather. I suspect that the product worked best around your bocce court because the weeds/ grass were allowed to dry out. Unlike the weeds in your flower beds that were most likely getting water. In this case, several treatments may be necessary to control weeds.
Hope this helps!