Lots of different pesticides are 'organic' ddt is 'organic' so is spinosad, Bti, and a few others. Spinosad gets lots of use out in the emerald triangle, as it kills caterpillers and moths and butterflys and well just about any insect in your grow. bti is a little more selective and dont use ddt.
I like to include a little neemcake in my potting mix. I also dont use spinosad, but I do use bti against fungus gnats. I just wanted to include these for your information if you google your way around integrated pest management you will find a poopton of great .edu links that will help you out with your specific pest issues.
also without knowing the pest we are fighting its hard to tell you what to use.