I listened to that part of the song a few times on YouTube. I don't think the lyrics you've quoted are quite what he's saying in the recording. I know some lyrics websites quote the same words as you, but those websites aren't completely reliable, sometimes they just publish a random internet user's idea of what the lyrics seem to be.
I believe he is saying:
We came to give love to our die-hearted real bitches
That stick to their man through the bullshit (with)
Good lovin' and good fuckin' all night long...
I hear it as "stick to their man" quite clearly, not "stick through they man".
I think the "with" at the end of the second line that I've put in parentheses is actually the first word of the next line, but the rhythm of his rapping sort of gives the impression that it's the end of the second line.
So it's not as grammatically incorrect as you thought.
The first two lines could be paraphrased as follows:
We give love to our loyal and authentic women
Who remain faithful to their men throughout life's trials