In Blender set your camera lens type to
Field of View:
Set your sensor fit to
Vertical:
...and look at the value that shows in the "Field of View" slider. This is your camera's FOV angle.
Export the FBX scene with your camera and import it into Toolbag, and write that same FOV angle to your Toolbag camera.
It should frame the scene exactly the same (turn on Safe Frame in the imported camera settings so it's easier to notice).
The reason you're using the FOV mode with the
vertical
fit is because you can see what angle value it shows in Blender and them
copy-paste that same value as the FOV of your Toolbag camera.
You'll have to do this every time you (re)import your FBX scene, because
the FOV stored in the file is the horizontal one, not the vertical.