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

PACE Scholarship
Total Worth: $21,000-$27,000
Eligibility: $21,000-$27,000
Minimum Criteria: minimum GPA 2.81, ACT 30 , SAT 1390
Requirement for maintenance: a minimum 2.0 cumulative GPA
Separate application needed: No

Presidential Award
Total Worth: $16,500-$20,500
Eligibility: $16,500-$20,500
Minimum Criteria: minimum GPA 2.81, ACT 23, SAT 1130
Requirement for maintenance: a minimum 2.0 cumulative GPA
Separate application needed: No

Academic Excellence Award
Total Worth: $12,000-16,000
Eligibility: $12,000-16,000
Minimum Criteria: minimum GPA 2.81, ACT 19, SAT 980
Requirement for maintenance: a minimum 2.0 cumulative GPA
Separate application needed: No

Texas Lutheran University provides aids at an average of 26587 per student meeting 85% of students need. 100% of students with need receive financial aid at an average of 22639 need-based grant. They also provide other scholarships including Jones Fine Arts Award (JFA) and Performance Award.