Riding bareback you'll just have to learn on your own, over time.
I have no idea how to teach bowing. It's not that hard to do, so I'm told.
Backing and drawing your horse (your yo-yo game) is a very important skill to learn. This will come in handy in a lot of ways, and is part of almost everything you do with a horse on the ground. Saddlebag described it nicely. for catching the hrose.
I think of it a bit differenently, but it is fundamentally the same thing, and that is that you make being next to you the nicest place to be.
So, if being out in the pasture is really a nice thing for a hrose, how can standing next to a human be nicer? pretty hard to be nicer than standing around eating in a field, or playing with your herd.
So, if you can't be nicer than that (and you can't) , you have to make THAT be less appealing, beleive it or not. You offer your horse a choice; ME or THAT. if the hrose chooses THAT, you make THAT uncomfortable. (this way you become the nicer of the two choices)
So, you approach your horse , from the side or really, from any direction. You stop and invite him over. If he doesn't come, you wait for him to make another choice, such as putting his head back down to graze. YOu interrrupt that, in an unpleasant way. like you are saying "Not THAT!". I will swing a rope against the ground, or take my hat and smack my thigh, or scuffle the ground, or kick dirt at the hrose , or ? . . anything that makes that horse give up that choice for a sec. He'll lift up his head, or leap forward and turn and look at you? LIke "What? what the hey?". And now, you be real nice and quiet, so you are very appealing. maybe walk a few steps closer and see if you can invite your horse in again. If he starts toward you, you stop, stand and wait for him. If he stands there, you may be able to walk right up to him, and you then stand next to him,(dont rush the rope over his head) and pet him and love on him, THEN put the halter on slowly.
If as you walk toward him, he turns his back on you, then do like Saddlebag said, and surprise him a bit with some interruption to that. Make turning his back on you something that is uncomfortable, and facing you something nice.
See, you make yoursdelf more appealing than THAT by making THAT a wrong and uncomfortable choice. Soon enough, he will choose YOU. and be sure to make being with you a real nice place to be for a nbit before you put him to work.