A Study to Evaluate the Safety, Tolerability, Pharmacokinetics (PK), Pharmacodynamics (PD), and Preliminary Activity of Tiragolumab in Participants With Relapsed or Refractory Multiple Myeloma or With Relapsed or Refractory B-cell Non-Hodgkin Lymphoma

General Inclusion Criteria (All Participants):

• Eastern Cooperative Oncology Group (ECOG) Performance Status of 0 or 1
• Life expectancy of >/= 12 weeks

Inclusion Criteria Specific to Arms A, C and E (R/R MM):

• Arm A only: Must have R/R MM for which no established therapy for MM is appropriate and available or be intolerant to those established therapies
• Arms C and E only: Participants with R/R MM who have received at least 3 prior lines of therapy.
• Measurable disease defined by laboratory test results.

Inclusion Criteria Specific to Arms B and D (R/R NHL):

• Participants with histologically confirmed B-cell NHL who have relapsed or failed to respond to at least two prior systemic treatment regimens and for which no suitable therapy of curative intent or higher priority exists.
• Must have at least one bi-dimensionally measurable lesion.

General Exclusion Criteria (All Participants):

• Any anti-cancer therapy, whether investigational or approved, including chemotherapy, monoclonal antibody, radioimmunoconjugate, antibody-drug conjugate, hormonal therapy, and/or radiotherapy, within 4 weeks or 5 half-lives of the drug, whichever is shorter, prior to initiation of study treatment
• Prior treatment with any anti-TIGIT agent
• Prior treatment with chimeric antigen receptor-T (CAR-T) therapy within 12 weeks before first study drug administration
• Autologous Stem-Cell Transplantation (ASCT) within 100 days prior to first study drug administration
• Active or history of autoimmune disease or immune deficiency
• Known active bacterial, viral (including SARS-CoV-2), fungal, mycobacterial, parasitic, or other infection at study enrollment, or any major episode of infection within 4 weeks prior to first study drug administration

Exclusion Criteria Specific to Arms A, C and E (R/R MM):

• Primary or secondary plasma cell leukemia
• Current or history of CNS involvement by MM

Exclusion Criteria Specific to Arms B and D (R/R NHL):

• Uncontrolled hypercalcemia or symptomatic hypercalcemia requiring continued use of bisphosphonate therapy or denosumab
• Current or history of CNS lymphoma
• Current eligibility for ASCT

Other protocol defined inclusion/exclusion criteria could apply