Interesting. Reverse false awakenings are something I do daily, but not the second one. My mindset was more of this:
"If I am lucid and am constantly becoming lucid throughout the day, then I will constantly be lucid throughout the night"
My mantra is "I'm dreaming." Not "I'm going to be dreaming." Not "when I open my eyes I am dreaming" it is simply to get the day residue of lucidity and the thought of dream in my head as much as possible, because I realized early on that the reason that lots didn't become lucid was that even though they hit high levels of awareness in dreams, the idea of a dream did not cross their mind. It happens backwards as well, dream crosses their mind, but not enough awareness to do anything about it. This is why I noted two types of awareness "general dream awareness" and "state awareness".

I'll tell you how I do tomorrow.