One thing that has been mentioned yet is using paper or styrofoam plates. I'll staple up 10 of them on various stumps, posts, trees, etc. at distances of 50 to 150 yards. The plate is virtually the same size as the kill zone (MOD,,,,Moment of Deer) so anywhere you hit it you should have a deer that's going down. You could do the same thing with a smaller plate to represent the kill zone of a coyote. Practice shooting from all hunting position scenarios,,,,prone, kneeling on one knee, sitting on the ground, off hand, and standing using a tree as a rest.
See how many you can get out of ten. Do off hand shots for the shortest distances and prone for the longest. My goal is always to get 9 out of 10. Give your rifle enough time to cool between shots. Take your time at first to build your confidence, then speed up your "get into position and shoot" shots. After that have a friend call out numbers.
I wouldn't even practice moving targets until you can consistently hit stationary ones from the various shooting positions I've listed above. As far as hitting a moving target you really don't need to lead the animal when your projectile is flying down the landscape at 2800+ fps. but you do need to move your rifle at the same speed the animal is moving. Aim for the front shoulder and don't stop following the animal with your rifle as you pull the trigger. To me it sounds like you were trying to shoot at the yotes by firing in front of them.
You were likely leading them too much, thinking it would take some time for your bullet to get to them,,,,it doesn't,,,,happens almost instantly so if you were shooting in front of the animal that is exactly where the bullet would have gone since it gets there in just a scant few tenths of a second. The most important thing to being a good shot is trigger time,,,,,the more you shoot, the more the rifle feels like an extension of your body.
Get a snap cap for your rifle and practice dry firing at night in your house. Dry firing is one of the best exercises you can do to tell you whether or not you're staying on target. There's zero recoil and no noise so you're not going to blink, which isn't all that uncommon, on the sound of the shot. You'll know instantly whether your cross hairs stayed on the point of aim or you're pulling on the trigger instead squeezing off the shot. I like to put my cross hairs on the wick of a candle across the room. It's a great way to practice your breathing, as well.