I"m assuming you are studying at A-level.
When a conductor moves through a magnetic field, the electrons (negative charge particles) in the conductor react with the field and move. A bulk movement of charge carrying particles is an electric current. The rod is the moving conductor which is where the current originates (induced). The rails are also conductors but are not moving so do not generate current of their own. Instead they create a circuit with the rod and ammeter to carry the current generated in the moving rod.
You need to learn Flemmings left and right hand rules where the relationship between the three components of magnetic field direction, conductor motion and induced current direction are all orthogonal to each other.