Well, as you said, the problem seems to be your anxiety. While this is something, that can't just be fixed entirely by some tips you found on the internet, there are some things you might try.
First, there are countless relaxation techniques, that would probably help. Just do them while you fall asleep. If you focus on something else entirely, you might just forget about your anxiety. Also you should consider giving meditation a shot. It really helps a lot with stress and such.
Second, I saw an interesting idea on Youtube once. It involved that you imagine some sort of box or a chest next to your bed. Before going to bed, you imagine putting all your worries in there and afterwards you lock the box. I personally never tried it and it might take a few tries, but maybe it helps.
Also a problem, I know well myself, is that trying to fall asleep never works that well. So focusing on MILD attempts, while you're able to sleep in might be a good idea.
That's all that came to my mind at the moment