Mechanisms of time-dependent-dielectric-breakdown (TDDB) in non-filamentary a-Si/TiO2 RRAM cell (a-VMCO) have been examined in this work, including defects generation in the grain boundary, defects clustering and different defects generation rates in a-Si and TiO2 layers. The unique feature of a bimodal Weibull distribution at low resistance state (LRS) and a single shallow slope distribution at high resistance state (HRS) cannot be explained by the above mechanisms. By using a combination of constant-voltage-stress (CVS), time-to-breakdown Weibull distribution and random-telegraph-noise (RTN) based defect profiling in devices of various sizes, layer thickness and processes, it is revealed that the defect profile is modulated when switching between HRS and LRS and the correlation of defect profile modulation with local defect generation rate can explain the difference in Weibull distributions at HRS and LRS. The transition from bimodal distribution at LRS to a single-steepslope with thinner a-Si layer, and the good area scaling of Weibull distribution at HRS but not at LRS, can also be explained. The critical layers affecting the TDDB in a-VMCO are identified, providing useful guidance for device performance improvement.