Dear Mallikarjun, you have not mentioned whether you applied for any government job through the State or the Union Public Service Commission or any State or Central Public Sector Undertaking, and whether you mentioned anything about your present employment in your application.
Document Verification Process
Normally, when you are selected for any post through the State/Union Public Service Commission, all your documents would be verified at the initial stage of appointment by the recruitment agency and the department to which you are allotted. There would be verification through the police about your anecdotes.
Therefore, the point you raised has no relevance to your government job if you are selected. When you leave the current private organization, ensure you get the proper relief and an experience certificate. That would be necessary in case of background verification by any industrial undertaking, whether in the private or public sector, if you have mentioned it in your application.