I wrote this repIy a year ago...
I have the same problem, I installed EyeTV4 software on my new Mac Mini M2. It needed Rosetta, After installing Rosetta it worked a couple of hours then gave me the message, My software is invalidated. Support e-mail did not answer. I waited one week. Wrote second mail but no answer.
and I cannot use EyeTV 4 with the Intel MacMini 2018 with Sonoma. Also I cannot use EyeTV 3 with Sonoma either. I wanted to expand my reply.