I think the answer you want is pyogenesis, purulent, or suppuration. The word parts pyo- and -pur- can both mean pus.
A rather disgusting mnemonic for remembering this a zombie has come home to his mother because she has baked him his favorite. Pure (-pur-) pus pie. Oh (pyo-) boy, yummy.
The medical term for fiber producing is fibrogenic.
The correct medical term for "male producing" is androgenic. "andr" meaning male, the "o" is the combining form, and "genic" meaning producing or produced by.
Anaesthesia
teratogenic
Ptyalism is the medical term meaning excess salivation.
Hematopoietic means blood-producing.
In Situ
Gynecologic
Gangrene is the medical term meaning that an ischemic area has developed a secondary pus-producing infection.
Feminizationfeminizing
Origin.originOriginorigin
The medical term for something of cardiac origin is "cardiac." This refers to any condition or symptom that originates from the heart.