Absconding and PF issue

Hi all, I initially worked in a 'abc' company(first)in Chennai location which had PF DEDUCTION in salary and worked I over there for 6 months. Then i got a offer and moved immediately to the 'xyz' company(second) in Chennai location on 1st of seventh month without proper relieving from previous company. In this 'xyz' company(second) there is no PF DEDUCTION in salary. I completed 2 years in 'xyz' company(second) and got proper relieving from this company. Now I am searching for job and facing PF issue in background verification.

Problem : As i have immediately left the first company without informing about my relieving from the company, they have credited only PF for the 7th month without salary (for the month which i haven't worked). Whether this PF credited intentionally or by mistake from company side, I dont have clear idea about it.

So now as the second company's joining date and PF exit date of first company is overlapping.

As per PF history, all the companies showing over there needs documents which is mandatory for Background verification.

In first company as per my request for relieving letter, they told that they will provide relieving letter mentioning last date as 31st of 7th month as per last PF exit date. But if i accept this then i will not be able to show my experience of second company (2years experience) and will be able to show only first company (6 months experience).

Approached PF office to know whether this PF deduction for 7th month is revert-able , and they asked how come a company credit PF without crediting the salary(for the month which i haven't worked) and they told only if this 'abc' company(first) gives the proper reason for reverting PF, we can change or else its not possible. But this 'abc' company(first) is not ready to help due to not proper relieving(absconding issue).

I have committed this mistake without any prior awareness and I solely regret for not getting proper relieving from a company. If anyone have suggestions or solution, kindly let me know.