Organic has several meanings and related topics.
Its original meaning is "Part of or derived from living matter".
It can be related to, or derived from living organisms: organic matter.
It can mean, relating to, or affecting a bodily organ: an organic disease.
In farming or gardening it can mean something marked by, or involving the use of fertilizers or pesticides that are strictly of animal or vegetable origin for plants and produce such as "organic vegetables" and "organic gardening". In livestock it means animals are raised or conducted without the use of drugs, hormones or synthetic chemicals; examples of such things being like as "organic chicken" and "organic cattle farming."
Strictly, the term should be Non-Inorganic but this is seen as excessively clumsy by modern journalism.
In building materials it can mean the avoidance of the use of petrochemical and other man-made materials (such as plywood, vinyl and fiberglass, instead using materials such as solid wood, linoleum, straw, adobe and cotton. Such buildings may be intended to reduce problems with allergies.
It can mean serving organic food such as in an "organic restaurant".
It can mean a simple, healthful, and close to nature, an "organic lifestyle."
More correctly it means having properties associated with living organisms.
It can also mean that something constituting an integral part of a whole; fundamental.
A military unit predominantly of one type (armour, infantry, artillery, etc.) may incorporate subunits of a different type, to improve combined arms capability; such subunits are referred to as 'organic artillery', 'organic armour', etc. See Organic (military).