Bevacizumab and Sorafenib as First-Line Therapy in Treating Patients With Locally Advanced or Metastatic Liver Cancer

DISEASE CHARACTERISTICS: * Histologically or cytologically confirmed hepatocellular carcinoma * Locally advanced or metastatic disease that is not amenable to treatment with surgery or to orthotopic liver transplant * Child Pugh class A or B7 disease * Measurable disease * No mixed cholangiocarcinoma/hepatocellular carcinoma * No current or previously resected brain metastases PATIENT CHARACTERISTICS: * ECOG performance status 0-1 * Life expectancy ≥ 3 months * ANC ≥ 1,200/mm³ * Platelet count ≥ 75,000/mm³ * Hemoglobin ≥ 9.0 g/dL * Total bilirubin ≤ 1.5 times upper limit of normal (ULN) * AST ≤ 5 times ULN * Alkaline phosphatase ≤ 5 times ULN * Urine protein ≤ 1+ by urine protein:creatinine ratio OR 24-hour urine protein \< 1 g * QTc interval ≤ 500 msec on baseline EKG * Not pregnant or nursing * Negative pregnancy test * Fertile patients must use effective contraception during and for ≥ 2 weeks after sorafenib tosylate and 6 months after bevacizumab * None of the following risk factors for decreased LVEF: * Prior treatment with anthracyclines * History of myocardial infarction within the past 12 months * No uncontrolled hypertension (defined as systolic blood pressure \[BP\] \> 150 mm Hg or diastolic BP \> 100 mm Hg) despite optimal medical management * No New York Heart Association class III-IV congestive heart failure * No cardiac ventricular arrhythmias requiring antiarrhythmic therapy * No history of hypertensive crisis or hypertensive encephalopathy * No cardiac ventricular arrhythmia requiring anti-arrhythmic therapy within the past 6 months * None of the following within the past 6 months: * Transient ischemic attack * Cerebrovascular accident * Unstable angina or angina * Clinically significant peripheral artery disease (i.e., claudication in less than one block) or any other arterial thrombotic event * Abdominal fistula, gastrointestinal perforation, or intra-abdominal abscess * Significant vascular disease (e.g., aortic aneurysm, aortic dissection) or recent peripheral arterial thrombosis * No active or recent history of hemoptysis (≥ ½ teaspoon of bright red blood per episode) within the past 30 days * No evidence of bleeding diathesis (greater than normal risk of bleeding) or coagulopathy (in the absence of therapeutic anticoagulation) * No significant traumatic injury within the past 4 weeks * No serious or non-healing wound, ulcer, or bone fracture * No uncontrolled intercurrent illness, including, but not limited to, ongoing or active infection, or psychiatric illness/social situations that would limit compliance with study requirements * No other active malignancy within the past 3 years, except nonmelanotic skin cancer or carcinoma in situ of the cervix * No comorbid systemic illnesses or other severe concurrent disease which, in the judgment of the investigator, would make the patient inappropriate for entry into this study or interfere significantly with the proper assessment of safety and toxicity of the prescribed regimens * No history of allergic reactions attributed to compounds of similar chemical or biologic composition to bevacizumab or sorafenib tosylate PRIOR CONCURRENT THERAPY: * No prior systemic chemotherapy regimens for hepatocellular carcinoma * No prior external beam radiation to the primary site * No prior central thoracic radiation therapy (RT), including RT to the heart * No prior radiation (if given for another malignancy) to ≥ 25% of the bone marrow * At least 6 weeks since prior chemoembolization, radioembolization, radiofrequency ablation, or other local ablative therapies * More than 4 weeks since prior biologic, hormonal, or immune therapy * More than 4 weeks since prior and no concurrent major surgical procedure or open biopsy * More than 7 days since prior core biopsy or other minor surgical procedure (placement of a vascular access device allowed) * No concurrent investigational agent which would be considered as a treatment for the primary neoplasm * No concurrent anticoagulants, except low-dose warfarin or heparin for deep venous thrombosis prophylaxis * No other concurrent treatment for prior malignancy (other than hormonal therapy)