vaccinate (someone or something) with (something
To use a vaccine or similar substance as a means of inoculating a person or animal against infection or disease. Scientists began vaccinating people with weakened or altered forms of the disease. We're experimenting with vaccinating poultry with chemical compounds that trick the birds' immune systems into producing antibodies.
vaccinate (someone or an animal) with something
to inoculate or immunize someone or an animal with some substance. This time the doctor vaccinated Tom with killed virus. The vet vaccinated the cat with something that would prevent rabies.