Is it correct that my apostille
or authentication certificate
doesn't list the country on it?
Yes, that is correct.
When you get issued a universal apostille certificate from the Texas Secretary of State (state level) or a federal apostille or authentication certificate from the United States Department of State (federal level) they will never list what country it’s for on the certification and they will also never state what type of document they certified either.
For example, let’s say you needed to get a power of attorney apostilled for Mexico. The apostille certificate issued on the POA will never state the words Mexico or power of attorney anywhere on the certificate that you are issued from the state or federal level.