Yes--they need to be tested. Many bacterial infections (for him) have no symptoms but unless he clears it up, the two of you will likely pass it back and forth.
What Are The Symptoms For Men With A Possible Bacterial Infection From A Woman?
I would think that both of you would have to be treated to get rid of it for good. Just like a yeast infection....if it's bad enough the doctor will give the man medicine too. The same medicine should work whether it's a cream or a pill. Some bacterial infections mimic the symptoms of a yeast infection but the yeast infection meds don't work. Been there done that!!