In this statement, condition (1) ensures that the most 'pro-woman' outcomes implemented by men are to the right of the most 'pro-man' outcomes implemented by women. If this is not satisfied, the reservation might or not increase the utility of the median female voter. Condition (2) ensures that the most 'pro-woman' outcome that can be implemented after the reservation is not so left wing and further away from the median voter than the outcome implemented by a man.
Under this conditions, the model ensures that, without reservation, no women will run for office and that reservation policy will increment female median voter's utility and, intrinsically, median voter's utility. Furthermore, with this analysis, the authors state clearly that the reservation policy can modify policy outcomes.