This phase II trial tests how well adding lisocabtagene maraleucel (liso-cel) to nivolumab and ibrutinib works in treating patients with Richter's transformation. Liso-cel is in a class of medications called autologous cellular immunotherapy, a type of medication prepared by using cells from patient's own blood. It works by causing the body's immune system (a group of cells, tissues, and organs that protects the body from attack by bacteria, viruses, cancer cells and other substances that cause disease) to fight the cancer cells. Nivolumab is in a class of medications called monoclonal antibodies. It works by helping the immune system to slow or stop the grown of cancer. Ibrutinib is in a class of medications called kinase inhibitors. It works by blocking the action of the abnormal protein that signals cancer cells to multiply. This helps stop the spread of cancer cells. Giving ibrutinib and nivolumab with Liso-cel may kill more cancer cells in patients with Richter's transformation.