This research study studies the combination of ibrutinib and obinutuzumab with or without the standard chemotherapy regimen of CHOP to see how well these drugs work in treating patients with a diagnosis of Richter's Transformation or Richter's Syndrome. The Bruton's Tyrosine Kinase (BTK) inhibitor, ibrutinib, may stop growth of cancer cells by blocking the signal needed for cell growth. The monoclonal antibody obinutuzumab may block cancer growth by targeting cells present in Richter's Transformation. Giving ibrutinib with obinutuzumab may be a better treatment for patients with Richter's Transformation. Depending on fitness, the patients may receive ibrutinib and obinutuzumab in combination with a regimen known as CHOP (C= cyclophosphamide, H= hydroxydaunorubicin (also called doxorubicin), O= oncovin (also called vincristine, and P= prednisolone or prednisone (corticosteroids).