Reach out or no??

Ok so my bf moved out of our apartment this morning. We argue almost every other week about stupid petty stuff. He's really the love of my life and I want this work out so bad. I'm not close to his family but I was thinking about reaching out to his sister to tell her about what just happened, he moved out and basically my true feelings so she can reach out to him to help him understand my side of things. Every time we have an issue he tells his mom. I don't tell my parents anything negative about him. Before he moved out we had this big argument and he told me he asked his mom last week can he move back in with her and that really hurt me. So should I reach out to the sister or you think she's gonna be like wtf why is she messaging me?