Compare that to the data from the UK vaccine surveillance report, and you'll see the opposite is true in reality (for age ranges 30-39 and above).
For example, for age range 30-39, between week 38 and 41 2021, there were 956.7 cases reported per 100,000 among the vaccinated, and 751.1 per 100,000 among the unvaccinated.
Anyway: in Germany the numbers are: 4 times more probable for the unvaccinated. I all depends on how people protect themselves, and that is the reason for vaccination passes: less infections, much less symptoms, much much less hospitalisations, almost no deaths in otherwise healthy people under 80 = no lockdowns.
That is exactly how they are separated. What else would "Rates among persons vaccinated with 2 doses (per 100,000)" and "Rates among persons not vaccinated (per 100,000)" mean?
Evidently the vaccines in Germany are working more effectively. That's good news!
"The rate of a positive COVID-19 test varies by age and vaccination status. The rate of a positive COVID-19 test is substantially lower in vaccinated individuals compared to unvaccinated individuals up to the age of 29. In individuals aged greater than 30, the rate of a positive COVID-19 test is higher in vaccinated individuals compared to unvaccinated. This is likely to be due to a variety of reasons, including differences in the population of vaccinated and unvaccinated people as well as differences in testing patterns."