I'm currently in the process of transitioning from the traditional Unity UI to Noesis. I've observed that the elements from Unity UI appear on top of the elements from Noesis. Is there a way to modify the rendering order globally and ensure that the Noesis elements are displayed on top instead?

Without more details about your project structure, I suggest using several cameras (one using UnityUI, the others using Noesis. This is "Camera Stacking" is Unity parlance) to control the rendering order.