I had my first job at a manufacturing company when I was fresh out of university, and worked there for 2 months. I then left due to health reasons and didn't look for work for another 3 months, as I was reviewing my engineering certification examination.
I started a second job in January of this year at a different manufacturing company. However, as I was desperate to land the role, I didn't declare my past experience when I applied, and told them that I never had experience before and was basically just a fresh graduate. Unfortunately, I was busted by an old colleague and the company found out, and as a result of my lie I was forced to resign in May.
I've been looking for another job since then but I am having a very hard time landing one. I am considering omitting one of these two jobs, more specifically the very first one, as I didn't receive any certificate of employment during my leave there and I was only there for two months.
My question is, is it possible to omit this on the job application form? Will this ever be found out under normal circumstances? (I believe the previous case is an outlier)?
I am also thinking of completely wiping out my work history and describe myself as fresh graduate again. I only have a total of 6 and a half months for these two roles. What's the best course of action to get back into work?