Two-Point question?

Sonny, you suck...

Just kidding!!!!

Ok, first, get rid of that martingale thingy... You have a decent overall position, but you need to bend more at the waist and run your hands up his neck.
I know that there is a horn there, so you can't really bend so get rid of the saddle. If you can't ride a turn out in an english saddle, then you need to go back down to trot poles (not trying to be rude, just safe).
Ok, so once you are in the english saddle, set the jump up on the wall, that way he can only run out one way, next set up a jump paralell to the wall and up against the other jump (trying to explain a chute.. lol) Make the 'side jump' higher than the actual jump and put some of those cones under it. You can put up more than one side jump if you want to..
Just start the jump as a trot pole so he gets used to going through, and then raise it as he gets better, make sure you are making it positive, and not snapping him in the mouth or landing on his back too soon. He will soon realize that jumping is fun, and you wont need to use the chute anymore.

I hope I explained everything ok, I left my glasses at work and have a headache from reading. Haha.

I agree with stepher.
Also, I hear western saddles can mess up a horses back if you jump with them

The more correct way is to go into 2 point as your horse takes off to jump over the fence. What is the most correct way for you? That I can't answer. It's something you should bring up with your trainer instead of posting your question here :)

Your trainer is the one working with you. He/she is the one who knows you and knows your level of experience in the saddle and therefor teaches you in your lessons in a way that pertains strictly to you. You should bring your question to your trainer instead of questioning the way your trainer is teaching you.

I guess it depends on what system your trainer teaches you. Some have you up in your two point while others have you sit and wait for the horse's motion to push you up out of the saddle.

Like you, I also practiced jumping before I took actual jumping lessons, and I would get up in my two point, too. But honestly, that didn't help me at all in the long run. Lol. I think that is what's caused me to jump ahead when ever I jump a horse. Now with a trainer, I'm having to retrain my body to sit and wait for the horse's motion of jumping to push me out of the saddle, and man is it hard!! I'm still working on it.

Like most people have been saying, many trainers have their students go into two point a couple strides early when they are first learning to jump. The proper way is to go into two point as your horse is taking off. This is a very hard concept for people who are somewhat green to jumping because it has a lot to do with feel and distance and finding your spot. That is the reason why trainers like to teach students to start early, so that they will be ready for the jump and in the correct postition. The problem with going into two point early is the issue of refusing. Many horses tend to refuse if they are not ridden all the way up to the jump and if you are already in two point it is much more likely that you will fall over the jump then if you are sitting up.
If you feel unsure about jumping, what I would suggest is to go back to ground poles. Canter over ground poles and feel your horses striding. Do not go into a full out two point, but sit a little more foreward over the pole and make sure to move with your horse. You will soon learn to feel the striding and how your horse takes the jump. Timing and distances are both aspects of jumping that will come over time. Just be patient.
If I were you, I would definitely ditch the western saddle. I known the saddle horn makes you feel more safe, but it is not good for your horses back to jump in this saddle, nor your position. The best thing you can do, if you are worried about the refusing, is to be confident. Look ahead, put your heels down and act as if you are going over that jump no matter what. This will give your horse more confidence. This will help your position because it is rather hard to go into two point with a huge horn poking you the whole time.