Study of Anlotinib Combined With Osimertinib as Second-line Treatment in Stage IIIb-IV NSCLC With Confirmed EGFRm and T790M

Inclusion Criteria: 1. Histologically or cytologically confirmed, locally advanced and/or metastatic IIIB, IIIC or IV non-squamous NSCLC or recurrent non-squamous NSCLC (according to the 8th Edition of the AJCC Staging system). 2. Non-small cell lung cancer (NSCLC) with an activating EGFR mutation (exon 19 deletion, L858R point mutation, or any other mutation known to be associated with EGFR TKI sensitivity); presence of an activating EGFR mutation may be documented in tumor tissue or by plasma testing. 3. Locally confirmed T790M mutation determined from biopsy (preferred) or on circulating tumour DNA, documented in tissue, plasma or serum after disease progression on the most recent first- or second-generation EGFR TK treatment regimen. 4. 18-75years，ECOG PS：0-2，Life expectancy of more than 3 months，with measurable lesion ( RECIST1.1). 5. ≥1 target lesion that has not received radiotherapy in the past 3 months and can be accurately measured in at least 1 direction；Previously received radiation therapy, but the radiotherapy area must be \<25% of the bone marrow area, and radiation therapy must have closed for at least≥4 weeks at the time of enrollment. 6. Main organs function is normal. 7. Signed and dated informed consent. 8. The woman patients of childbearing age must agree to take contraceptive methods during the research and within another 8 weeks after treatment. Pregnancy test (blood serum test or urine) should be done within 7 days before the research and the result should be negative.The man patients who must agree to take contraceptive methods during the research and within another 8 weeks after treatment. Exclusion Criteria: 1. Squamous cell carcinoma (including adenosquamous carcinoma); Small Cell Lung Cancer (including small cell cancer and other kinds of cancer mixed with non-small cell cancer) 2. Non-small cell lung cancer (NSCLC) with an EGFR C797S mutation. 3. Prior treatment with a third-generation EGFR TKI (i.e. Rociletinib, Olmutinib、BPI-15086、BPI-7711、Osimertinib); Prior treatment with agents targeting the VEGF pathway, including bevacizumab and Anlotinib. 4. Treatment with an EGFR TKI (i.e. erlotinib, gefitinib or afatinib) within 8 days or approximately 5 x half-life, whichever is longer, of the first dose of study treatment；Patients may not be receiving any other investigational agents and may not have participated in a study of an investigational agent or using an investigational device within five half-lives of the compound or 3 months, whichever is greater 5. Any unresolved toxicities from prior therapy greater than Common Terminology Criteria for Adverse Events (CTCAE) grade 1 at the time of starting study treatment with the exception of alopecia and grade 2 platinum-therapy related neuropathy 6. Any factor that would preclude adequate absorption of Osimertinib and Anlotinib, including refractory nausea and vomiting, chronic gastrointestinal diseases, inability to swallow the formulated product or previous significant bowel resection 7. Patients with obvious brain metastases, cancerous meningitis, spinal cord compression, or with brain or pia mater disease. (patient with brain metastases who have completed treatment 28 days before and the symptoms are stable can be Enrolled, also should have no cerebral hemorrhage symptoms confirmed by brain MRI, CT or venography evaluation 8. Patients who planned to receive systemic anti-tumor therapy within 4 weeks prior to allocation or during the course of this study, including cytotoxic therapy, signal transduction inhibitors, immunotherapy (or receiving the Mitomycin C 6 weeks prior to medication). Extra-field radiotherapy (EF-RT) was performed 4 weeks prior to allocation or restricted radiotherapy for assessing tumor lesions within 2 weeks prior to allocation 9. Patients with any severe and/or uncontrolled disease, including: 1. Inadequately controlled hypertension (HTN) (systolic blood pressure \[SBP\] \> 140 mmHg and/or diastolic blood pressure \[DBP\] \> 90 mmHg despite antihypertensive medication) 2. Mean resting corrected QT interval (Fridericia's correction formula \[QTcF\]) \> 470 ms ms obtained from 3 electrocardiograms (ECGs), using the screening clinic ECG machine derived corrected QT (QTc) value; Any clinically important abnormalities in rhythm, conduction or morphology of resting ECG (e.g., complete left bundle branch block, third degree heart block, second degree heart block); Any factors that increase the risk of QTc prolongation or risk of arrhythmic events such as heart failure, hypokalemia, congenital long QT syndrome, family history of long QT syndrome or unexplained sudden death under 40 years of age in first degree relatives or any concomitant medication known to prolong the QT interval; 3. Active or uncontrollable serious infection (≥CTC AE Level 2 infection) 4. Liver cirrhosis, decompensated liver disease, active hepatitis or chronic hepatitis need to be treated with antiretroviral therapy 5. Poor control of diabetes (fasting blood glucose \[FBG\]\> 10 mmol/L) 6. Urine routine test protein ≥++, and confirmed 24 hours urine protein\> 1.0 g 10. Long-term unhealed wounds or fractures 11. Evidence of bleeding diathesis or coagulopathy (including clinically significant hemoptysis) 12. Patients with artery/venous thrombotic occurred within 12 months before allocation, such as cerebrovascular accident (including temporary ischemic attack), deep vein thrombosis and pulmonary embolism 13. Past medical history of interstitial lung disease, drug-induced interstitial lung disease, radiation pneumonitis which required steroid treatment, or any evidence of clinically active interstitial lung disease 14. Patients with a history of psychotropic medicine abuse and cannot quit or have mental disorders 15. Respiratory syndrome (dyspnea≥CTC AE 2), severe pleural effusion, ascites, pericardial effusion 16. History of immunodeficiency, including HIV-positive or other acquired, congenital immunodeficiency disease, or history of organ transplantation; active infection including hepatitis B (HBV DNA level ≥1000 copies /mL), hepatitis C and human immunodeficiency virus (HIV) 17. Has a history of malignant tumors. Except for patients with cutaneous basal cell carcinoma, superficial bladder cancer, cutaneous squamous cell carcinoma or orthotopic cervical cancer who have undergone curative treatment and have no disease recurrence within 5 years after the start of treatment 18. History of allergic reactions attributed to compounds of similar chemical or biologic composition to AZD9291 (osimertinib) or Anlotinib 19. Patient was diagnosed with disease which will severely endanger the security of patients or influence the completion of this research; Judgment by the investigator that should not participate in the study if the patient is unlikely to comply with study procedures, restrictions and requirements