Real forces are those which arises due to actual interaction between objects.But pseudo forces are not result of any interaction between objects rather it arises due to change of frame of reference and that is why it is pseudo.For example let us consider a person standing in a lift and suddenly the lift is accelerated downward.Now you can see that from a reference frame out side the lift there is only one force acting on the person which is the gravitational force.But if you now change your reference frame and see the motion of the person from inside the lift then you will see that the person is moving upward.So from inside the lift it will seem that some kind of force is acting on the person upward but which is actually not true.Rather it is the effect of the acceleration of lift downward and the fact that you are observing the motion of person from this accelerated frame.
That is why while calculating motion of an object inside a lift which is accelerating downward we add an upward pseudo force on the object .