According to USDA defination, Organic food must be produced with emphasis on renewable resources and conservation of land and water.
Organically grown plant-based food should not use most conventional pesticides, fertilizers made with synthetic ingredients or sewage sludge. Bioengineering (another term for Genetic engineering, GM for short) or ionizing radiation cannot be used to produce plant-based food.
Organic animal-based food such as meat, poultry, eggs, and dairy products should come from animals that are given no antibiotics or growth hormones. These animals should be fed with organic feed only.
Here is USDA's defination of Organic-
USDA also has defined its standards for plant and animal based foods here-
If you want to know more about what those organic symbols and number on your food mean check out the following link-