If I had to take a shot at it, I'd say some kind of bastardization of morote seoi nage from a cross lapel grip.
Morote gari is often performed with the cross lapel grip to relieve pressure on tori's shoulder.
If you're performing a throw and uke is flying directly over your head, there is something wrong. Generally speaking, kake requires an equal amount of twisting and bending. Twist without bending and uke will land at a 90 degree angle to you, feet pointing away from you at 3 or 9 o'clock. Bend without twisting and uke will fall how you described, with feet pointing at 12 o'clock, directly away from you. With an equal amount of twist and bend, uke will fall at a perfect 45 degree angle. I do this demonstration in class relatively often.
I have a student who has an issue which sounds very close to what it is that you're describing. The cause, I believe, is because he is a weight lifter and has a significant amount of muscle memory built up from squatting. When I try to get him to bend his legs and keep his back straight, he goes into a virtually perfect squatting position. Unfortunately that position isn't conducive to performing a good seoi nage (Or many other forward throws).
Part of the problem is that when squatting, you remain flat footed. You must. But if you stand up right now and try to squat while flat footed, you'll notice a couple things.
- The first is that it is virtually impossible to bend your legs much at all while keeping your back straight. If you REALLY want to test it, stand up against a wall and try to squat while keeping your heels on the floor and your shoulder blades touching the wall. Now try the same thing while allowing your heels to come up. You'll notice that it is not a problem at all.
- The second is that the bodies natural reaction to trying to squat with the heels flat is to go into a squatters position. That is with your ass stuck out behind you and your back bent forward at roughly a 45 degree angle.
What happens when you do this while attempting a forward throw is that your hips push uke backwards, which is not helpful when trying to throw them forward. And also, if your hands are doing their job, it will cause uke to bend at the waist, thus adjusting their center of gravity and causing your squatting to become useless.
To counteract this, the response seems to be to "pop" your hips backwards during the improper squatting motion, while at the same time pulling uke forward with your hands. It uses the improper action of the hips and ass shooting backwards as a tool to throw uke.
It's horrible technique. That's not a slight against you. You're new. But it IS awful technique and you shouldn't get into the habit of using it.
First, it's dangerous to uke. It's dangerous because it is tough for tori to twist while making that motion and thus uke flies directly over your head, which could lead to a potential spiking on their head if you lose your balance. It's also dangerous to uke's knees if they are particularly tall and your hips fly backwards into their knees.
Second, it is simply improper technique. You are not learning to get your center of gravity below your uke's before lifting. You're using the explosive popping motion in it's place, which is inefficient and ineffective vs. people bigger and/or stronger than you are.