Furensics

It is possible that you are using the term to refer to forensic science as it pertains to furred animals or to the study of physical evidence related to furred creatures. 
Forensic science is the application of scientific principles and techniques to the investigation of crimes and the presentation of evidence in legal proceedings. It is a broad field that encompasses a variety of disciplines, including biology, chemistry, engineering, and psychology, and it is used to analyze and interpret physical evidence in order to solve crimes and support legal cases. In some cases, forensic scientists may be called upon to analyze evidence related to animals, including furred animals, in order to help solve crimes or provide information about the circumstances of an incident. However, the term "furensics" is not a term that is commonly used in the field of forensic science.