"Organic" can mean different things in different jurisdictions and different certification regimes. When I worked at a Whole Foods predecessor years ago I understood it to mean that produce was raised without pesticides or synthetic fertilizers. This entailed being free from genetic modification (beyond breeding and cross-breeding), too. I would guess that the "and pesticide-free" bit is for marketing purposes, or the term "organic" was being inappropriately used.

And as applied to non-produce foods the term can mean something else entirely.