My Mom has become extremely demanding, her mood is getting increasingly worse. Any advice?

She is chronically ill and refuses mental health services. Makes demands like "I need a towel", but does not say where she needs it. If I ask why she needs it she does not say why, she will say I am dumb and should figure it out. She has been very ill and needs some help but her doctors have told her to do more for herself but she is perfectly content to have me wait on her. Family members have suggested mental health counseling as well as medical but she becomes very angry when that is mentioned. My sistersand I have got her teasing my dog then the dog snaps at her. She then tells everyone she is afraid of the dog and I am cruel because I will not get rid of him. I have told her it is her fault the dog snapped at her and why should pay the price for what she did?. I understand my mom needs help and I want to help her, but she is making NO effort to do anything. I have suggested she do things like throw her trash away or clean out her pockets before she puts out her laundry but she won't do it. What can be done?