Yeah, University of New Orleans does provide scholarships based on merit. Here are some of them:

Homer Hitt
Total Worth: $16,429 (+ non-resident fee for out-of-state) per year
Eligibility: $16,429 (+ non-resident fee for out-of-state) per year
Minimum Criteria: 30 ACT, 1400 SAT, 3.5 GPA

President
Total Worth: $5,000 per year
Eligibility: $5,000 per year
Minimum Criteria: 28 ACT, 1320 SAT, 3.0 GPA

Provost
Total Worth: $3,500 per year
Eligibility: $3,500 per year
Minimum Criteria: 25 ACT, 1280 SAT, 3.0 GPA

University of New Orleans provides aids at an average of 9946 per student meeting 67% of students need. 97% of students with need receive financial aid at an average of 5550 need-based grant. They also provide other scholarships including Phi Theta Kappa and Transfer Award.