Make sure that you are providing all information and documents requested. For example, if the posting requests both a resume and cover letter make sure to do both. Be sure your resume is well-written, error-free, and emphasizes the skills and experience relevant to the job for which you are applying.
Remember that many UH jobs get large numbers of applicants, many of whom meet not just the minimum qualifications, but the department's preferred characteristics as well.
If you feel that a lack of higher education work experience is holding you back, please consider applying with CoreStaff, since many temporary positions allow you to gain directly-related experience that will be attractive to any university hiring manager.