To further improve the fitting and prediction performance of the non-homogeneous Poisson process (MHPP) software reliability growth models (SRGMs), this paper, as the extension work of the NHPP software reliability modeling framework which considers the TEF, will discuss how to integrate both TEF and TCF into the traditional NHPP software reliability modeling process. This is done in order to capture the integrated effect of testing effort and testing coverage on reliability estimation. First, a comprehensive modeling framework for incorporating the TEF and TCF together into the NHPP SRGMs is proposed. Recur to this framework, a new NHPP SRGM (named IS-LO-SRGM) with both the IS-TEF and logistic TCF (LO-TCF) is proposed. Meanwhile, two issues of this proposed framework are discussed respectively (i.e. how to select the most appropriate TEF and TCF for modeling and the parameter estimation). Then, two case studies on two real failure data-sets are presented. The experimental results show that the IS-LO-SRGM nearly yields the best fitting and prediction results compared with the other comparison NHPP SRGMs for two data-sets. Thus, the applicability and effectiveness of this modeling framework are validated. Finally, the imperfect debugging phenomenon is also considered in the modeling framework for a further discussion.