If you do not meet the criteria, you cannot apply to change your name in the passport. You need to submit evidence of change name on passport.
Step 1: Complete and Submit Form DS-82: Application For A U.S. Passport
Step 2: Submit Your Most Recent U.S. Passport
Step 3: Submit Evidence of change name on passport
Step 4: Pay the Applicable U.S. Government Fee
Step 5: Provide Two Professional Passport Photos
Step 6: Include Two Letters of Authorization
Step 7: Ship Documents to Visa Express