As power of attorney can I have a sibling removed from my mother's house . He does nothing but take from her causing anguish and anxiety

There are a lot of factors at play here. The first question I would have is why exactly do you have power of attorney for your mother and what are the limits of it? Do you have it in writing or is it informal? Second, is your brother living in the house (or even partially owns the house), staying short term, or is he just an intrusive visitor? Third, it sounds like your mother wants to have continued contact with him. Is that true or is more exploitative than that? Fourth, how is your mother's health? How old is she and is she capable of taking care of herself or making her own decisions? There's a lot of nuance here.  Really unless your mother also wants him barred from the house or your mother is somehow incapable and not able to make her own decisions then you likely cannot do anything about it regardless of how frustrating he may be. If your mother is in agreement and wants him to not come back then the police can be called to instruct him to not come back. If she is incapable and being exploited by him then he may be able to be prosecuted for Exploitation of the Elderly of Disabled (provided she is over 65 or disabled). If you think she is being financially exploited by him you should think about contacting the police so they can look into it. Orders of protection can also be taken out if he is violent and there are forms for this you can get at the clerk's office in most counties for you to fill out if you think that is appropriate. But most situations would require your mother either being onboard with banning him from the house or would require her to be incapable of making her own decisions.