Transferring of PF and Gratuity - changed my Job from Central Public Sector Unit (PSU) to Autonomous R&D Centre, Govt of India

Recently I have changed my Job from Central Public Sector Unit (PSU) to Autonomous R&D Centre, Govt of India. My question is transferring of PF and Gratuity, the present organization says to withdraw the PF and Gratuity since you have been recruited as new. where as I applied through proper channel only and submitted my relieving letter also. My friends are suggesting to transfer PF (present organization is having both EPF and NPS) and Gratuity.
kindly guide me whether transfer or withdrawal. If transfer means suggest for relevant rules please.

Discuss the issue with HR of present establishment, if they have enrolled you in EPF then transfer option is available to you

Dear US Sharmaji
Thank you very for your response. The present organization is having both NPS and EPF, but there are insisting for NPS only because of the %of contribution. In such case what shall I do?
with regards
Ramesh

if the employee has declared at time of joining by furnishing form 11 that he already has an active UAN, then establishment has to continue the same UAN in normal situations,
your HR can reply best that for what reason they are insisting NPS, as you are already have an active EPF account, because your withdrawal means break of service, and at the end of retirement, service benefits of previous employment will get lapsed