The present research proposes new requirements for practical 𝓗-stability in non-autonomous nonlinear systems. We introduce new converse Lyapunov theorems specifically for these types of systems. To analyze the 𝓗-stability analysis, we utilize 𝓗-stable practical functions. We investigate the uniform practical 𝓗-stability of non-autonomous systems: perturbed ODEs and Interconnected systems. Additionally, several examples are provided for illustration.