Service Overlap Issue

Regarding the Service Overlapping Issue in PF. Wherein I had joined the first company on July 5th 2021 and in the same month I got another offer from the second company and joined on 19th July 2021, fyi both are contractual employment. Firstly I thought to choose one company which ever project is good out of these two, Since working from home no issues occurred. Since the first company project was critical when compared to the second one, I informed the first company that I am leaving the organisation in the month of September 2021, hence they marked exit date in PF account is Sept 15th 2021. Recently I got a permanent employment offer from a second company after serving 18 months on contract, but the problem I got here is the current organization (second company) started doing Background check and they found out that the pf overlapped with the previous organization and they released me from the project and asked me to produce the relieving letter from the previous organization from duration July 5th to July 18th 2021. I had reached out to first company asking the same details as required, but they denied to produce as such. They are ready to produce till Sept 15th 2021 which will become overlapping issue again, please help me with your suggestions to overcome this issue. Thank you in advance!