You're most likely to be asked to verify work history if you're applying for a higher level management job, and they could ask for tax documents if they want something concrete. The more recent or big your resume enhancement is, the more scrutiny it'll be under. If the company was bought out, their employment records might still be accessible somewhere through the company that bought them out.

You want to make sure that your story lines up with the story of the company, make sure that your employment dates are before the company ceased operations and that you're claiming you worked at a company location where one actually existed. You want to make sure that you can back up anything you say you can do on your resume with at least a little research. If you land an interview, you'll probably be asked some job-specific details about what exactly you did there and what you are familiar with within the role.

Make stuff on your resume that's not true easier to believe than it is to check and you'll be good.