Edit: Found this study [1] looking at binaural beats and changes in EEG: "Analysis of changes in broad-band and narrow-band amplitudes, and frequency showed no effect of binaural beat frequency eliciting a frequency following effect in the EEG". This study is (conveniently) not cited in the Wikipedia-article.
[1] https://www.sciencedirect.com/science/article/pii/S016787601...
I first found out about binaural beats and brainwave entrainment in the 80's reading a book called MegaBrain by Michael Hutchison.
I went to his seminar. There was a device that generated binaural beats via audio and some flashing lights.
I closed my eyes, put on the headphone/helmet thingie. Did the program. My mind was 100% on the ball. Pshaaaw. Felt like nothing happened. Was skeptical. Gave up on it. Took off the helmet. Stood up. And fell back into the chair. Because the brainwave entrainment put me into a sleepy state.
While I understand that placebo's are powerful, I find it hard to believe that I imagined that deep a sleep, particularly when I had decided that it didn't work.
Flash forward years later, I figured they must have an app for the iPhone by now. So I searched and found several, but settled on an app called Brain Wave, by Banzai Labs. It isn't quite as strong an effect as with the light machine combined, but it does seem to get me into a deep sleep.
I understand this is anecdotal. Try downloading an app, do a program and judge for yourself.
Are you unable to hear the "warbling" variation at the frequency difference rate? Or are you expecting some meta-physical woowoo to happen just 'cause you're listening to it?
Suspect sounding claims with pseudo-science-y sounding justifications/explanations – I wasn't even interested enough to check whether I was effected that way.