Pegylated Liposomal Doxorubicin Hydrochloride With Atezolizumab and/or Bevacizumab in Treating Patients With Recurrent Ovarian, Fallopian Tube, or Primary Peritoneal Cancer

This phase II/III trial studies how well pegylated liposomal doxorubicin hydrochloride with atezolizumab and/or bevacizumab work in treating patients with ovarian, fallopian tube, or primary peritoneal cancer that has come back (recurrent). Chemotherapy drugs, such as pegylated liposomal doxorubicin hydrochloride, work in different ways to stop the growth of tumor cells, either by killing the cells, by stopping them from dividing, or by stopping them from spreading. Immunotherapy with monoclonal antibodies, such as atezolizumab, may help the body's immune system attack the cancer, and may interfere with the ability of tumor cells to grow and spread. Bevacizumab is a monoclonal antibody that may interfere with the ability of tumor cells to grow and spread. It is not yet known which combination will work better in treating patients with ovarian, fallopian tube, or primary peritoneal cancer.