Can government verify fake experience certificate through HR and PF re

Hi, I submitted a fake experience certificate for 3 years when I joined a private company, but I left after 2 months because they breached the terms and conditions of the offer letter (working hours during probation were supposed to be in the day, but they kept me on a night shift). I left the company properly with a relieving letter and an experience certificate. Now, I’m about to join a central government job and have to fill in the previous employment details in the attestation form. My question is, if I mention my last company, can government agencies contact the company's HR to verify the fake certificate I submitted? When HR asked for my documents, I sent them over email. Also, I have PF entries for this fake experience, but no PF deposits or salary credited, for which I have a bank statement as proof. The PF entries under EPFO show the same DOJ (date of joining) and DOE (date of exit). Please advise.