I've been using parts of that 2-min technique for months. The way I learned it here is, starting in bed on your back:
Your face is the key to slowing down everything
Now that you’ve got your position, it’s all about the face. Think of it as the epicenter of your emotions. Close your eyes and breathe slowly and deeply. Then relax all 43 of your face muscles — no squinting or frowning. Your forehead should be smooth. Let everything go loose. Breathe out as you feel your cheeks, mouth, tongue, and jaw relax.
Your eyes are shut, but you want to make sure they are totally limp. Do this by letting them fall deep into your socket. There are six muscles that control your socket; feel them relax and go lifeless.
When you relax your face and let your eye sockets go limp, you signal to the rest of your body it’s time to unwind.
Send your upper body south
Now it’s all about the shoulders. Let them drop as low as they can, as if they were floating down your body. You should feel the back of your neck go lifeless. Let all the muscles there go even looser.
Breathe in deeply. Then exhale slowly, blowing out all of the tension.
Next are your arms. Start with your dominant side. If you’re right-handed, focus on your right bicep. Feel it relax and drop down your body. If it’s not relaxing, tense it first, then let it go loose.
Then move to your right forearm. Focus on sending it limp. Finally, comes your hand and fingers. Let them fall like a dead weight against your leg. When you’ve finished with your dominant side, work through the process with your other arm.
Your upper body should be nice and limp, like it’s sinking into you. You’re more than halfway there.
What to say to your legs
Next stop is your legs. Tell your right thigh muscle to sink, like a dead weight. Then tell the same thing to your right calf muscles. Then do the same thing for your ankle and foot. Feel the muscles go limp, as your leg sinks into the ground.
Repeat the process with the left leg, talking to your thigh, then your calf, then your ankle and foot.
Now you have unwound, relaxing every muscle in your body from your face to your feet. There’s just one more thing you need to do to turn your relaxed state into deep sleep.
How to not think about anything
The last step is to clear your mind for 10 seconds. That’s it. No thinking about what went wrong that day, or what time you need to get up, or when you’ll get to call your partner. Doing these things all involve movement. Which means just thinking about them is enough to make your muscles involuntarily contract.
Instead, you need to keep your mind still. You can do this by holding a static image in your head. Imagine you are lying on a comfy couch, in a pitch black room. Hold this image in your mind for 10 seconds.
If that doesn’t work, say the words “don’t think … don’t think … don’t think” over and over for at least 10 seconds. This will clear out any thoughts and stop your brain from wandering.
When you’re physically relaxed and your mind is still for at least 10 seconds, you’ll be asleep.