It is possible that the BV came back or did not fully go away after treatment. And since BV can be transmitted similarly to STDs, it is possible your partner got it and then passed it back.
When you go to your doctor tomorrow, you may want to ask him or her if that is a possibility, and if your partner should get tested. I know even a yeast infection that can happen with. It is rare, but can and does happen. It just sounds to me like you still have an infection or have another one. We're much more prone to them during pregnancy since our body chemistry is different.
If it was passed to your partner a simple swab test can tell him and a simple treatment can gt rid of it, just like with us.
Oh, another possibility is that if you just recently finished treatment, the treatment might have irritated you a bit inside and that might be the burning that you're feeling....
had many an infection during my first pregnancy, so quite experienced with the symptoms and treatments and such.