The main emphasis of this study is the idea of enhancing the standalone double-stage Kalina cycle's working performance by employing a bottoming cycle to recover its low-grade exhaust heat. The literature search indicates that using the absorption refrigeration cycle, the Goswami cycle, or the organic Rankine cycle are all viable options for the above goal. In this context, the previous research on the utilization of the Goswami cycle was limited to recovering heat from the Kalina cycle's turbine exhaust, leaving unexplored the possibility of using the heat from its ammonia-weak solution. Moreover, the Kalina-Goswami cycle's previous configuration constrained its operation to a single ammonia concentration, which restricted the assembly's ability to recover heat in different thermal contexts. The present combined scheme uses two recuperators for heat recovery from both turbine exhaust and ammonia-weak solution of the double-stage Kalina cycle. Additionally, separate absorbers are used for the topping and the bottoming cycles so as to ensure concentration independence between them. The comparative analysis shows that the heat recuperation helps the combined scheme to produce higher exergy of product with fewer exergy losses and that too when it is running at concentration lower than that of the standalone Kalina cycle. Optimization techniques are used to examine the combined scheme's ability to adjust in various thermal circumstances. Under ideal working conditions, the combined scheme generated 7.88 kW more turbine work, 4.27 kW of auxiliary sensible cooling, dissipated 5.59 kW less exergy and is 1.09 time more exergy-efficient than the standalone Kalina cycle.