Tafasitamab, Retifanlimab, and Rituximab in Combination With Standard Therapy for the Treatment of Diffuse Large B-cell Lymphoma

Inclusion Criteria: * Patients with previously untreated diffuse large B cell lymphoma or grade 3B follicular lymphoma (of any stage). Patients may have de novo DLBCL, and /or any of the following: * Composite lymphomas, which include both diffuse DLBCL and another histology (most commonly follicular lymphoma) in the same lymph node, * Transformed lymphoma with DLBCL histology, as long as the patient has not received prior therapy for lymphoma, * Discordant presentations, such as DLBCL in a lymph node and low-grade lymphoma such as follicular lymphoma in the bone marrow, and * High grade B-cell lymphoma (including "double hit" lymphomas or high grade B-cell lymphoma-not otherwise specified \[HGBCL-NOS\]) is permitted if the patient is not eligible for or declines intensive therapy * Be willing and able to provide written informed consent/assent for the trial * Be \>= 18 years of age on day of signing informed consent * Have measurable disease, including at least 1 nodal site measuring 1.5 cm or 1 extranodal site measuring 1.0 cm in longest dimension on computed tomography (CT) or fludeoxyglucose F-18-positron emission tomography (FDG-PET) * Have a performance status of 0-2 on the Eastern Cooperative Oncology Group (ECOG) performance scale (PS) * Absolute neutrophil count (ANC) \>= 1,000/mcL except in case of marrow infiltration by lymphoma * Platelets \>= 75,000/mcL except in cases of marrow infiltration by lymphoma * Serum creatinine clearance (CrCl) must be \>= 30 mL/minute either measured or calculated using a standard Cockcroft and Gault formula * Creatinine clearance should be calculated per institutional standard * Serum total bilirubin =\< 1.5 x upper limit of normal (ULN) unless secondary to Gilbert's syndrome or documented liver involvement by lymphoma. Patients with Gilbert's syndrome or documented liver involvement by lymphoma may be included if their total bilirubin is =\< 5 x ULN * Aspartate aminotransferase (AST) (serum glutamic-oxaloacetic transaminase \[SGOT\]) and alanine aminotransferase (ALT) (serum glutamate pyruvate transaminase \[SGPT\]) =\< 2.5 x ULN OR =\< 5 x ULN for subjects with liver metastases * Left ventricular ejection fraction of \>= 45%, assessed by echocardiography or cardiac multi-gated acquisition (MUGA) scan * Female subjects of childbearing potential should have a negative urine or serum pregnancy within 72 hours prior to receiving the first dose of study medication. If the urine test is positive or cannot be confirmed as negative, a serum pregnancy test will be required * Female subjects of childbearing potential should be willing to use 2 methods of birth control, be surgically sterile, or abstain from heterosexual activity starting with the first dose of study therapy and for 180 days after the last dose of study medication. Female subjects of childbearing potential must also agree not to donate eggs (ova, oocytes) for the purposes of assisted reproduction during the trial and for 180 days after receiving the last dose of study therapy. Subjects of childbearing potential are those who have not been surgically sterilized or have not been free from menses for \> 1 year * Male subjects should agree to use 2 methods of contraception starting with the first dose of study therapy and for 180 days after the last dose of study therapy Exclusion Criteria: * Is currently participating in a study and receiving an investigational agent or is using an investigational device within 4 weeks of the first dose of treatment * Requires systemic corticosteroids in excess of \> 10 mg/day of prednisone or equivalent. Exceptions: * Physiologic corticosteroid replacement therapy at doses =\< 10 mg/day of prednisone or equivalent for adrenal or pituitary insufficiency and in the absence of active autoimmune disease is permitted * Participants with asthma that require intermittent use of bronchodilators, inhaled steroids, or local steroid injections may participate * Participants using topical, ocular, intra-articular, or intranasal steroids (with minimal systemic absorption) may participate * Brief courses of corticosteroids for prophylaxis (e.g., contrast dye allergy) or prephase steroids for disease control, given for up to 7 days, are permitted * Steroids required for management of immune-related adverse events after initiation of study therapy are permitted * Has a diagnosis of immunodeficiency * Has a known additional malignancy that is progressing or requires active treatment. Exceptions include resected cutaneous neoplasms, in situ cancer, or any neoplasm not requiring therapy or with a life expectancy exceeding 3 years * Has known active central nervous system (CNS) metastases and/or carcinomatous meningitis * Evidence of interstitial lung disease, history of interstitial lung disease, or active, noninfectious pneumonitis * Has an active infection requiring intravenous antibiotic therapy at the time of start of study therapy * History of organ transplant, including allogeneic stem cell transplantation * Has received a live vaccine within 28 days of the planned start of study drug * Note: Examples of live vaccines include but are not limited to intranasal influenza, measles, mumps, rubella, chicken pox/zoster, yellow fever, rabies, BCG, and typhoid vaccine * Has a history or current evidence of any condition, therapy, or laboratory abnormality that might confound the results of the trial, interfere with the subject's participation for the full duration of the trial, or is not in the best interest of the subject to participate, in the opinion of the treating investigator * Has known psychiatric or substance abuse disorders that would interfere with cooperation with the requirements of the trial * Is pregnant, breastfeeding, or expecting to conceive or father children within the projected duration of the trial, starting with the pre-screening or screening visit through 180 days after the last dose of trial treatment * Has received prior therapy with an anti-PD-1, anti-PD-L1, anti-PD-L2, anti-CD137, or anti-cytotoxic T-lymphocyte-associated antigen-4 (CTLA-4) antibody (including ipilimumab or any other antibody or drug specifically targeting T-cell co-stimulation or checkpoint pathways) * Has a known history of human immunodeficiency virus (HIV) (HIV 1/2 antibodies), unless controlled on therapy and CD4 count is \> 200/uL * Has known active Hepatitis B (e.g., hepatitis B virus surface antigen \[HBsAg\] reactive or hepatitis B virus \[HBV\] deoxyribonucleic acid \[DNA\] detectable) or Hepatitis C (e.g., hepatitis C virus \[HCV\] ribonucleic acid \[RNA\] \[qualitative\] is detected)