The status of the firm of the employer will decide who is the Authorised official to govern the employees related issues, especially the non-compliance of Labour Laws. Generally Labour Inspectors of the respective state govts.(Labour Inspectors, Asst.Labour Commissioner (Central) as applicable) are such officials. However in respect of EPF & ESIC Acts there are Inspection Officers who are having the jurisdiction over such units with whom the aggrieved employees can file their plaints and obtain acknowledgement. There is also provisions to file complaints 'Online' in the respective portals on the web sites of the respective departments.
There is no 'governing body' as you mentioned to go into these details.
19th January 2019 From India, Bangalore