I understand your concern for your brother in that he's not getting a decent night sleep and your mother is not caring about him, by disciplining him in making him stick to a bedtime routine so he can function better, making the boundaries clear between parent and child and so gaining respect.
However, you are making yourself ill over this, sit down and have a chat with your mother and brother and if nothing comes of this, or they refuse to talk, then you have no choice but to just make sure you get a decent night sleep and do well in your life, there's no point in you suffering because they don't care to change.