Often we come across cases similar to yours. But the question remains - can a private employer terminate an employee "without assigning any reasons" for the termination?
People often have the misconception that a private employer can terminate an employee without providing any reasons for the termination. However, this goes against the employee termination policy in India. The reasons for termination need to be stated, and employees should be given the opportunity to explain themselves.
Without going into specifics, it's necessary to study your case with relevant documents. You may review the cases cited in this link for a proper appraisal of your situation: https://indiankanoon.org/search/?formInput=terminate%20without%20any%20reason.