I am not sure how they train the greyhounds on the farm/track to accept the basket muzzle. Maybe they just throw them on nice and tight and eventually the dogs give up when they can't get them off. Or maybe they do it with positive reinforcement. I have no idea. Positive reinforcement has always worked for me though, so that's how we're going about it.
The following is a video after a couple of sessions working with the new muzzle. The first few times I didn't have the strap done up and didn't leave it on her. I just wanted her to stick her face in it and get treats. Then as she was getting comfortable with that I did up the strap and again just waited for her to stick her face in. Then I started popping the strap over her ears for short periods of time. That's about as far as we've gotten so far.