Okay kiddo, so you know how when you throw a ball, it bounces off something and then comes back to you? That's like what happens when you shoot a type of energy called gamma rays at certain materials.
Now, in normal situations, when those gamma rays hit something, they bounce off and lose a little bit of energy. But in the case of the Mössbauer effect, the gamma rays actually get absorbed by the special material and then get re-emitted at the exact same energy level they had before.
This might not seem like a big deal, but it is actually really important for scientists who want to study how atoms behave and how materials work. See, when the gamma rays come back out at the exact same energy level, it means the atoms in the material must be pretty stable and not moving around too much.
So by studying the way the gamma rays bounce back out of the material, scientists can learn a lot about the properties of the material and how its atoms are arranged. And that's the Mössbauer effect, in a nutshell!