To benefit the properties of both Low-Density Parity-Check (LDPC) and Turbo Convolutional Codes (TCC), we propose a practical concatenated Gallager/Convolutional code in a turbo coding way. The modified code creates a balance between the advantages and the disadvantages of LDPC and TCC in terms of the overall complexity and latency. This will be done through two different component SISO decoders; LDPC and convolutional code of the same rate 1/2 without interleaver. Since the two SISO decoders are different in nature, they exchange extrinsic information that will be easily adapted to each other. The study of computation complexity and decoding performance over an AWGN channel indicates that such approach leads to excellent performance because of several factors. The proposed approach achieves a trade-off between waterfall and error floor regions. It reduces complexity decoding compared to TCC and 3D - TCC. It provides a better coding gain over LDPC and PCGC (Parallel Concatenated Gallager Codes). These features will ensure optimal outcomes and cost-performance ratio, and thus, this trend can be the best choice for today's communication systems.