Dynamic parameter has no effect on Beam Particles

You can use particle color in place of dynamic parameters to modify material parameters as a work around. If you want to scale your color you can setup color as an InstanceParam and say modify it with your R channel, then use another channel such as G or B to modify a separate material parameter.

Sorry for the issue, I would suggest using the above method as I don’t see this getting changed in the very near future as we are focusing efforts on Niagara and issues which are critical path for Cascade (i.e. a bug which is causing crashes etc.)