Is the money disbursed as compensation after termination of service for the one whose name is registered in government departments, or for the one who actually performed the work?

Such matters should be referred to the entity providing the compensation. If this entity permits the core issue but does not specify the rightful recipient, and the person actually performing the work has not agreed with the one whose name is registered regarding the entitlement to the amount and how it should be divided, then the person who performed the work is more entitled to it. This is because it is the result of his effort and work, and what matters are the realities of the situation, not merely the names.