Cancer causes innumerable deaths every year globally. Breast cancer and non-small cell lung carcinoma (NSCLC) are the most prevalent worldwide. The epidermal growth factor receptor tyrosine kinases play a pivotal role in manifestations of cellular signals in carcinoma cells and thus are endorsed as therapeutic targets in cancer management. EGFR-TKD is a good option for the treatment of cancer, but the resistance shown by first-generation TKIs leads to hyperphosphorylation, overexpression, and mutations of EGFR-TKD. The new molecular scaffolds of thiazolo-[2,3-b] quinazolinones were evaluated against EGFR-TKD via molecular docking simulations and thereby linked with molecular dynamic simulations to identify the ligand stability with EGFR-TKD’s. The binding energy of thiazolo-[2,3-b] quinazolinones is approximately similar to that of reference molecules found against both wild type wtEGFR-TKD and EGFR-TKD mutant "TMLR" (T790M/L858R) in this study. According to ADMET analysis, thiazolo-[2,3-b] quinazolinone derivatives (5ab, 5aq, and 5bq) are safe. The stability was investigated at an atomistic level by molecular dynamic simulations, and the strength of the bindings was calculated by the molecular mechanics Poisson-Boltzmann surface areas continuum solvation MM-PBSA method. The RMSD, radius of gyration, and SASA trajectories were studied in detail. The ΔGbind generated by heterocyclic 5aq thiazolo-[2,3-b] quinazolinone was found to be -63.723 ± 0.419 kJ/mol against the EGFR-TKD mutant "TMLR" and it was -51.551 ± 0.409 kJ/mol against wtEGFR-TKD. This study concludes that the top ranked complexes 5ab, 5aq, and 5bq with both wild and mutated types of EGFR-TKD corroborate that thiazolo-[2,3-b] quinazolinone derivatives, like the FDA-approved drug erlotinib, may be potent inhibitors of EGFR-TKD for patients with NSCLC.