Next button with Variable not carrying over to my Menu

I'm not sure what you're asking. You state what you did, but not what result you're getting or expecting that's not happening.

I'm going to assume the state isn't changing when you get to the menu. The trigger you have will change the state when the variable changes. However, the variable has already changed from F to T on the previous slide. Thus the variable never changes.

It should be, change the state when the timeline of the slide starts on the condition that var = T. This way the menu slide launches it looks to see what the current value is and then does the state change.