One of the worst things you can do as an employee at any business or company is to jump over the chain of command.
If you have a problem or concern that you think needs to change or needs attention, you need to sit down and talk to the person that is in charge of you. By doing so, your supervisor will have a chance to hear what you have to say and either give you suggestions or look into your concerns. You need to give them ample time to look into the matter and find the best course of action. They are busy to and also have a boss to answer to. By jumping the chain of command and going behind your supervisors back to their boss is simply asking for more trouble than you want to get into. When you do something like this, there is no good intention behind it, you are not solving any problems by doing it, and you most certainly will cause more issues, not only with your supervisor but also with your fellow co-workers. Blind siding your supervisor will almost end your employment and nothing good will ever come from it.
Through the many decades of working, I have been in a supervisor role. One of the things I always stressed was if you have a problem you see me first and let me try to handle it to your satisfaction. If I can’t, I will get my boss involved so we can come up with a solution. I was blind sided once and after the dust had settled, I lost a very good employee and the person who caused the problem.
There is never anything good that will come out of going behind some bodies back to get what you want. You will always lose more than what you will gain.