I was a turbine engine mechanic too, but first I was a motorcycle mechanic and still am.
It was always tricky getting these bikes into neutral. You have to use some sensitivity.
You cannot just kick the shift lever down or up.
You need to put the bike in first gear and then lightly lift up on the lever with your toe on the shift lever.
If you have a neutral light it will help.
If the idle is too high it will make it very hard to put into gear. or into neutral.
One way you can feel it is to reach down and when it is in first gear pull up on the shift lever with your hand and you can feel it.
It is 1/2 step not a whole step. So you cannot just bang down on the lever or lift up the lever ALL the way it is part way up to go into neutral from first gear.
Rev it up just a little with a quick blip of the throttle then move the shift lever.
Also just rocking the bike forward or back just a few inches will help.
What is happening is you are trying to get four small round pegs on one gear to line up with the gear next to it with four round holes.
If you stomp on the shift lever it will just bend the shifting forks and damage the transmission.
So being macho will cost you.
On a Roadstar Adventure.