有机 literally means organic.
English word "organic" have several meanings/usages. 有机 equals to (most of) them.
1 relating to or derived from living matter: organic soils.
• Chemistry relating to or denoting compounds containing carbon (other than simple binary compounds and salts) and chiefly or ultimately of biological origin. Compare with inorganic.
2 (of food or farming methods) produced or involving production without the use of chemical fertilizers, pesticides, or other artificial chemicals. organic farming. organic meat.
3 Physiology relating to a bodily organ or organs.
• Medicine (of a disease) affecting the structure of an organ.
4 denoting or characterized by a harmonious relationship between the elements of a whole: the organic unity of the integral work of art.
• characterized by gradual or natural development: the organic growth of community projects.
I can't say for meaning (3), but 有机 is the same as organic in the rest three of organic's meanings.
The meaning of 有机 in the example in organic meaning 4.