XwonderX, ask your instructor if you can have a loose neck strap and use it to help you get up off the saddle.
This is the way I teach rising trot.
In walk I get the rider to hold the neck strap and stand up by swinging their hips in an arc forward and up. Then I get them to balance there, it is only possible if you have your legs in the right place and your hips forward. Then once you have your balance sit down gently.
Once you can do this then you do the same thing in trot. Don't worry about the rythym just yet, get yourself up and then sit down then back up and then sit down, gradually you will feel the horse wanting to push you up.
Getting the rythym is hard for many people to get so don't get disheartened.
You can practise at home too, get a chair such as a dining chair and sit on it. Place your feet either side of the chair with your heels,hips and shoulders in line. Then lean slightly forward and stand up. Note that you don't push up of your feet but open the angle of your knees. Make sure that when you sit down you sit as if you were on eggs, so sit ever so gently.
To increase the use of this exercise, find a table that is the right height that if you hold your hands in riding position with your little fingers on the surface you have them in front of you as if you were on the horse. Now practise moving up and down keeping the fingers still and without leaning on them. You will notice that your elbows must open as you rise up and close when you sit down. This is what you need to do to keep your hands still when doing rising trot.
Remember that once you are on the horse you need to lean slightly forward and swing your hips forward and up, not just up. You have to take into account the fact that the horse is moving forwards.
Hope I haven't confused you.
I've included a photo to show you how much you need to lean forward.