We have introduced higher order generalized hybrid $B-(b, \rho, \theta, \widetilde{p}, \widetilde{r})$-invex function. Then, we have established higher order weak, strong and strict converse duality theorems for a multiobjective fractional programming problem with support function in the numerator of the objective function involving higher order generalized hybrid $B-(b, \rho, \theta, \widetilde{p}, \widetilde{r})$-invex functions. Our results extend and unify several results from the literature.