Why is there a continuing need for the sacraments of healing in our modern society?
We, as Catholics are broken without God. We have always needed his healing and we always will. This is the reason why the Sacraments of Healing were created, because we will always throughout our lives need to be healed by Christ.
Click on the link to go to the Catechism of the Catholic Church, where it gives a detailed description of the sacraments of healing.