USA Military baggage polices for United as the booking airline Lufthansa as the carrier.

My wife and I will be flying on a lufthansa aircraft but our booking was made through United. Basically we're trying to figure out if Lufthansa's baggage policy apply or United's. Through United we get free checked luggage because of military affiliation, but it appears we wouldn't through Lufthansa had we booked directly through them. Has anyone tried to fly with checked bags as active duty USA military is a situation like this? Thanks!