the best is to use the REST API. You can send a json encoded list of protein IDs of interest using your favorite tool. a generic example with curl is the following:
curl --header "Content-Type: application/json" --request POST --data '{"ids": ["P53_HUMAN","P12345"]}' https://omabrowser.org/api/protein/bulk_retrieve/
For python, we also provide the omadb client: https://github.com/DessimozLab/pyomadb for more information about it. I hope this helps.