Edit: Sorry if some of this is repeating myself, I didn't realize we talked on the Lavish forums a little bit already
One very important thing to note here is that I do not have your configuration and therefore if the problem you are having is unrelated to the specific details you have provided me (like something in a mapped key you use), there is no way for me to know that. So I am just guessing, and this is largely going to be a repeat of what I said on the other thread...
And if this doesn't help, then I really just need to see your config. See the sticky about "How to share your configuration for better support"
My suggestion is really that you should not set hotkeys in your Repeater Profile, and this suggestion goes for everyone who uses the Quick Setup Wizard (in fact if you go select your Repeater Profile in the top pane you can read the Description box which says this). Hotkeys in your Repeater Profile are not going to sync with the on-screen icons, so they are never going to show you the right state if you are hitting your custom hotkeys.
Instead, select the Control or Always On key map (whichever you have, Control is from the Quick Setup Wizard for WoW and Always On is for every other game) in the top pane. Then in the bottom left pane, you have "Activate Repeat" and "Activate Mouse Repeat". Set those hotkeys -- Activate Repeat defaults to Shift+Alt+R, and is no default hotkey for Activate Mouse Repeat. These mapped keys will at least update the on-screen icon with the Repeater state. They are only toggling current window, though, by default.
To explain what you're seeing about "out of sync", every window has its own state. When you turn Repeater on or off in one window, it isn't necessarily going to change the state in the other window. When you use "current window" hotkeys in your Repeater Profile, you are specifically telling it NOT to change whether broadcasting will pass from other windows. And since your hotkeys are NOT affecting the on-screen icons, it will be a mystery to you whether it's on or off when you switch windows.
Finally... if you're separating mouse and keyboard repeat, then this might be helpful (assuming you're playing EQ2 still from a previous post):
(EQ2 Quick Start Guide) Understanding Key Maps vs Repeater(EQ2 Quick Start Guide) Quickly add many broadcasting hotkeys