This paper proposes a new FinFET based SRAM cell and a cache architecture that efficiently exploits our SRAM cell for low-power and robust memory design. Our cache architecture uses invert coding scheme to encode the input data of a word line by taking into account the data composition. Based on the new data distribution, we propose two new asymmetric SRAM cells (AABG and ADWL) utilizing adaptive back-gate feedback that significantly improve cache power consumption and reliability, and provide higher performance in state-of-theart SRAM caches. The results show that the AABG cell is a good candidate for robust and low power caches, while the ADWLbased SRAM cache is low power and high performance cache. The simulations are performed on SPEC CPU 2006 benchmarks with GEM5 and HSPICE in 20nm independent gate FinFET technology. The results show that the proposed AABG (ADWL)-based cache improves static and dynamic power by at least 13% and 35% (17% and 12%) respectively, compared to other stateof-the-art cells, while guaranteeing 2.7X (1.98X) lower NBTI degradation with less than 1.5% area overhead.