Dear Mr. Daulath, if the employee has at least one contribution to EPF, his family is eligible for a family pension. If you had initiated the process of EPF registration for this employee and paid the January EPF contribution, you are saying he is a member of EPF. So, I presume he has contributed to EPF for January, or he was a member before joining your company. His family will also be entitled to EDLI (Employee Deposit Linked Insurance). The minimum payout has been increased to 2.5 lakhs w.e.f. 15/02/2018. Probably, this may not be available in his case, but as per the old entitlement, it is 24 times the average salary (calculated as an average of the last 12 months). The minimum pension is Rs 1000 as of today (there are some reports of this being revised to Rs 7500). Of course, accumulations in EPF will also go to the nominee/legal heir.
Claiming Benefits
For claiming all three benefits, EPFO has now introduced a composite application form, a copy of which is attached.
Benefits Under ESIC
Under ESIC, there are similar benefits available, but I don't know whether one can avail both. I think funeral expenses, which are Rs 10,000, can be availed. I don't know whether a pension is available under ESIC, so it will be advisable to go for EPF benefits in view of pension entitlement and the likelihood of the minimum pension being revised to Rs 7500. I suggest you study the benefits under both EPF and ESIC and decide.