Does anyone know the proper way to title a 'Bypass Trust' account?

A living or grantor trust oftentimes splits into two trusts upon the death of the first grantor. Most of the time they are simply called the "A trust" and the "B trust."

One will "bypass" the federal estate tax, but in reality it is simply another irrevocable trust with its own EIN, not some exotic arrangement.

The trust agreement (or will) should contain the instructions for naming each trust; you need to see the document.