NYU HEOP Forms? (help me....)

Looking at this website for required eligibility documents - http://www.nyu.edu/admissions/undergraduate-admissions/how-to-apply/all-freshmen-applicants/opportunity-programs/forms.html

My mom didn’t do her taxes because she told me she didn’t need to (she’s undocumented)
On the website, it says that if she didn’t file taxes she has to complete a 4506-T form from the IRS to verify her non-filing status. My question is, does she have to complete this even if she undocumented? Do I have to explain this to NYU?

And another thing: when the website talks about your “parent(s)” do they mean whichever parent lives with you, or do they mean both parents regardless of whether they live with you or not?