California does not differentiate between valid types of marriage when granting a Divorce or Legal Separation.
Three states (Arkansas, Arizona, and Louisiana) have a special marriage distinction which restricts reasons for divorce (such as the parties must live apart for at least a year, one party has to have a post-marital felony conviction, the court must make a finding of child or sexual abuse, etc.) and the court in these states can even compel mandatory counseling.
If you entered into a covenant marriage in one of these states and now meet the residency requirements in California, you are entitled to a divorce here by simply declaring that there are irreconcilable differences and you no longer wish to remain married.
If you have any further questions about your specific situation, please reach out to the Sacramento divorce attorneys at Hughes Law Group for advice and guidance on your case.