So, in summary, binaural beats certainly do not work the way the sellers claim, but there's no reason to think they're any less effective than any other music track you might listen to that effects you in a way you like. If they make you sleepy (like they all do for me), use them to go to sleep. If they relax you or get you amped, use them for that. But don't expect them to be any more effective than regular music. If someone you know claims that they are, put them to the test, and bust the myth.

A crossover RCT of a single session of theta stimulation in four healthy adults reported no significant improvement in verbal fluency or attention associated with the intervention and a reduction in immediate recall. Controlled comparisons reported significant benefit from the intervention in all three outcomes measured. Six pre/post studies reported significant benefit from the intervention for 19 of 28 cognitive outcomes.
Most of all, don't feel bad if you fall asleep. Your brain is still receiving many of the benefits of entrainment while you sleep through the audio tracks. In fact, many people report better, more restful sleep when they use brainwave entrainment to help them fall asleep. However, I recommend that you do not go to sleep with your brainwave track set to repeat, as that can be too much stimulation for the brain.
Unlike many traditional therapies for dealing with stress, anxiety, depression or cognitive impairment, entrainment does not require a focused effort from the person having the therapy, as the brain instinctively follows the frequency. This makes it a much more effective therapy for managing some of these challenging conditions, by automatically inducing a sense of relaxation and a reduction in negative physical and emotional patterns.
Take a hint from Taylor Swift and literally shake your body to release tension—but you probably want to do this one in private, or your coworkers might wonder what you’re up to! “In Africa and other cultures, shaking therapy is used for emotional healing—literally shaking off your perceived emotional threat of fear, self-doubt, or worry,” Miller says. “Next time you find yourself emotional because of a specific situation that side swipes you in life, imagine the irritation beading up on your body and start shaking it off from your feet all the way up to the top of your head.” Picture an animal shaking off after getting out of the water, and use the shaking as a release of the emotional attachments causing you stress. Plus, “most of the time when I use this technique, I end up flipping my frustration into laughter, which is always a great endorphin mood booster!” Miller says. Here are more proven ways to boost your mood.
♥ At 56, I have tried many a thing. The default setting of Binaural Beat Machine does make me very relaxed. But it's not what it does on the moment, pleasant as this might be. It is the quality of the sleep, when I use it for half an hour before going to bed. I sleep a deep, restful sleep. I use it during day-time meditation as well, and the clear-mind feeling about an hour later is wonderful!

In fact just having a particular range of brainwaves running through our grey matter is also not “meditation”. Brainwaves are not the cause of the meditative state. They are only an indicator that we might be in a meditative state. And then again we might be in some other state as well. Those exact same brainwave frequencies are present during many different activities and states of consciousness, not just during meditation.
Subsequently, the term 'entrainment' has been used to describe a shared tendency of many physical and biological systems to synchronize their periodicity and rhythm through interaction. This tendency has been identified as specifically pertinent to the study of sound and music generally, and acoustic rhythms specifically. The most ubiquitous and familiar examples of neuromotor entrainment to acoustic stimuli is observable in spontaneous foot or finger tapping to the rhythmic beat of a song.