Past Employer Verifications?

I left my previous employer due to a toxic work environment after 5 months of employment. It was a contract role with no end date. As I am currently searching for a new job now, I am telling prospective employers the correct dates of my employment (August-December) but I am telling them that my temporary contract role ended and was completed - instead of saying I quit.

Can prospective employers find out that I instead quit my last job through employment verification checks? I have been telling them otherwise to prevent me from being overlooked. They would have to contact the temp-hire agency that placed me into the job, instead of the company I worked for to get info?

usa jobs
usa jobs resume
usa hotel jobs
usajobs
usa jobs federal government
usa job in ksa
usa jobs
usa jobs login
usa jobs gov
usajobs.gov
www.usajobs.gov
usajobs.com
usajobs
usajobs.gov official