The uncertainty principle proposed by Heisenberg is the most basic feature of the area of quantum mechanics, which has been investigated for over ninety-five years with various versions of uncertainty relations obtained, such as the forms of standard deviation and entropy. In recent years, there has been a great interest in quantum-memory-assisted entropic uncertainty relation (QMA-EUR), which has been demonstrated experimentally by now. It is shown that if the measured system and quantum memory are maximally entangled, the measuring outcomes of two incompatible observables can be predicted precisely at the same time. The QMA-EUR has many potential applications in quantum information processing and has been expanded or improved by many scholars. The time-evolving behaviors of QMA-EUR in the open quantum systems have attracted increasing research interest in these years. In particular, the relationships between QMA-EUR and quantum discord, between QMA-EUR and quantum coherence has been discussed widely in the single-layered environment. Moreover, few studies are carried out on the relation between QMA-EUR and quantum dense coding capacity in noisy environments. However, quantum systems can be influenced by the hierarchical environment in realistic scenarios, which has received more and more attention. In this background, we explore in this paper the dynamics of improved QMA-EUR, quantum discord and quantum dense coding capacity in virtue of two identical and independent qubits each immersed in its own hierarchical environment. It is shown that entropic uncertainty and the bound of uncertainty is tight totally in the weak and strong coupling regimes. Meanwhile, entropic uncertainty and the dense coding capacity have a contrary relationship. The coupling strength between the qubit and cavity has an important effect on the evolution of QMA-EUR, the “revival” of quantum discord, and the efficiency of dense coding capacity. Furthermore, we further investigate the manipulation of filtering operation on QMA-EUR, quantum discord and quantum dense coding capacity, and present several significant results.