Maybe you can do some strict pull-ups and ring dips, you’ve worked the transitions on low rings with bands but it’s just not clicking.
The Jumping Muscle-Up is something that will help you get more aggressive in the turnover / transition from the pull to the push phase of the movement.
In the false grip, focus on looking past the rings to the ceiling. Then bend the knees and dip down to full extension of the arm. JUMP with all you have got! We want to use the power of the legs, combined with the pull of the upper body, to create upward momentum. Still looking past the rings to the ceiling, wait until you feel the rings touch your chest. Once you feel that, do the most violent sit-up you have ever done and find your toes with your eyes. This should drop you right into the bottom of the transition with the rings in your armpits. Don’t jump past this position.
As you’re practicing the Jumping Muscle Up, challenge yourself to use less and less of the legs and more pull from the upper body. Raise the rings up, Maybe try jumping off of only one leg.
Eventually the plan is to use the kip to generate momentum so don’t forget to work those false grip beat swings too.