Inclusion Criteria:
* Must have a diagnosis of a solid tumor (except primary brain tumors), acute myeloid leukemia (AML), or non-Hodgkin lymphoma (NHL); NHL may be of any subtype for Dose Escalation but is limited to diffuse large B-cell lymphoma (DLBCL) for those enrolled to the cohort evaluating the combination of ABBV-621 and venetoclax. Participants in the Dose Optimization solid tumor cohorts must have either colorectal cancer with documented KRAS mutations (as determined by local testing), or pancreatic cancer (irrespective of mutational status). Participants in the chemotherapy combination cohorts must have metastatic or advanced unresectable colorectal cancer with documented RAS mutations (as determined by local testing).
* Participant in dose escalation or dose optimization cohort must have received at least one prior systemic therapy, and must have relapsed or progressed after, or failed to respond to any/all available effective therapy or therapies.
* Participant in chemotherapy cohorts with CRC must have progressed after or failed to respond to initial systemic therapy.
* Must have measurable disease (by Response Evaluation Criteria In Solid Tumors \[RECIST\] 1.1 for those with solid tumors; by Lugano classification for those with NHL), except those with AML, who must have histologically confirmed relapsed or refractory disease.
* Must agree to provide the following samples for biomarker analysis:
* All participants: archived tumor tissue (if available).
* Participants in Dose Optimization (excluding AML): pre- and on-treatment fresh tissue biopsies. (Note: fresh tissue biopsies will be optional for participants with solid tumor or NHL in Dose Escalation and will be collected only if consent is provided)
* All participants with AML: pre- and on-treatment bone marrow aspirates (BMA)
* Participants in chemotherapy combination cohorts: participants must provide a fresh biopsy if an archival biopsy is not available
* Participant in chemotherapy cohorts with CRC must have confirmed RAS mutation
* Must have an Eastern Cooperative Oncology Group (ECOG) Performance Score of 0 - 2. Participants in chemotherapy combination cohorts must have ECOG Performance Score of 0 - 1.
* Must have adequate hematologic, renal and hepatic function.
Exclusion Criteria:
* Participants with history of brain metastases who have not shown clinical and radiographic stable disease for at least 28 days after definitive therapy. In addition, any AML participant identified through cerebrospinal fluid (CSF) analysis, as having active central nervous system (CNS) disease, will be excluded.
* Presence of primary hepatobiliary malignancy, including cholangiocarcinoma or hepatocellular carcinoma, gallbladder carcinoma, cancer of ampulla of Vater.
* Receipt of any systemic anti-cancer agent, including investigational anti-cancer products, within 21 days prior to study drug administration or 3 half-lives, whichever is longer.
* Participant with a history of cirrhosis or other indication of significant possible hepatic dysfunction. Note: Those with non-alcoholic steatohepatitis (NASH) should be discussed with the AbbVie TA MD before enrollment.
* Participant with a positive diagnosis of hepatitis A, B, or C.
* Dose Optimization combination cohorts only: Prior receipt, at any time, of a BCL-2 inhibitor
* Dose Optimization combination cohorts only: Participant has received strong or moderate CYP3A inhibitors or inducers within 7 days prior to the initiation of study treatment.
* Dose Optimization combination cohorts only: Participant has malabsorption syndrome or other condition that precludes enteral route of administration.
* Dose Optimization combination cohorts only: Participant has promyelocytic leukemia (M3).
* CRC chemotherapy cohort only: Participant with minor surgical procedures, such as fine needle aspirations or core biopsies, within 7 days prior to first dose of study drug are excluded.
* Participants in CRC chemotherapy combination cohort only: cardiomyopathy, coronary/peripheral artery bypass graft, aneurysm or aneurysm repair, angioplasty, pulmonary hypertension, cerebrovascular accident or transient ischemic attack, within 1 year of first dose of study drug.
* Chemotherapy combination CRC participants only: Prior receipt of an irinotecan-based chemotherapy.
* Chemotherapy combination CRC participants only: Disease progression within 3-months of initiating first-line therapy.
* Chemotherapy combination CRC participants only: history of Gilbert's syndrome or UG1T1A1 genotypes.
* Chemotherapy combination with bevacizumab participants only: clinically significant conditions that may place the participant at higher risk with anti-angiogenic therapy.
