How to avoid having to jailbreak XBOX 360 Everytime?

Hello, this is my first post here. I did an exploit mod to run downloaded games from an external hard drive on my Xbox 360, and I need to launch the exploit through the Rock Band 3 demo. However, every time I turn off the console, XexMenu and the other apps that come with the mod disappear, and I have to run the Rock Band 3 demo again until the chain-breaking video appears.

Is there a way to bypass this? To make the console stay the same way even after being turned off?