"Am I just looking in the wrong place?"

Yes, because you are asking about two different qualifications.

Not everything Energy Star is also IRS tax credit. It might be Energy-company credit or rebate, and it might be State credit or rebate.

You look at the IRS eligibility, and it will tell you a certification or level rating, such as SEER 16 or 85% minimum efficiency, or whatever. Then the specific purchase can be evaluated. Just having Energy Star doesn't give the quantitative info.

Most times, the seller will include the certification, if it meets whichever various requirements.