To be clear, your claim is that COVID vaccines did not reduce likelihood of infection? It's not clear exactly what point you're trying to make here. Were they completely ineffective? Not effective enough for your tastes? If the latter, what degree of likelihood reduction is your bar?

It's not hard to find literature demonstrating a reduction in infection rate [1]

[1] https://www.nejm.org/doi/full/10.1056/NEJMoa2034577