In Scriptural tradition, barley is a common food eaten by people and animals. Wheat is the key and ideal human food, providing of course it is organic and hand milled and not mass produced and chemically treated as we have today. Many delicacies can be made from wheat and enjoyed by royalty and those who can afford them.
The wheat harvest which takes place 50 days after Passover begins, is symbolic of the “olam ha ba” the coming Messianic age. Life will be different then. We will be like kings who only eat the finest of wheat and enjoy the best things that life will have to offer.
It is in the context of this wheat harvest that the events of our parasha take place.