I'm actually using Trapcode Tao & Mir in a 360 video in After effects CC 2018.
I activated the 3D plugin option in the VR comp editor but i get a problem with brightness on some sides of the cubemap (see file attached).
I'm not that familiar with these plugins but we ran into something similar when we were doing tests with Cineware and 360 in After Effects. For us, the issue was that the Camera was driving the light source so when we rotated the camera to produce the 360 view, the lighting changed slightly and the cube faces were no longer seamless (like the image you provided). It was an easy fix in Cinema 4D, we simply setup our own environment lights and used those instead.
At a glance, I see that the Toa plugin has a 'Material and Lighting' section as well as a 'Paths from Toa Lights' section. Unfortunately I don't know what a 'Toa Light' is but given the information in the above paragraph and your knowledge of the plugin, hopefully this is a good place to start.
I would try creating a Point Light at the position of the Camera and parenting that light to the camera so that it moves with it. This would ensure even lighting in the whole 360 sphere for the duration of the animation (assuming the plugin settings can be adjusted to only use the lights in the scene).