The male pigeon sometimes brings grass into the nest, which may be that he is adding materials to the nest to better protect the young pigeons. The male pigeon will also provide food and protection for the mother pigeon and the soon-to-be-born young pigeon.
Generally speaking, this is normal behavior, indicating that your pigeon is actively incubating eggs to prepare for the arrival of new life. If you have any doubts about their health or behavior, you'd better consult a veterinarian or a professional.