All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
It is disliked for a worshipper to deliberately not recite a Surah after Al-Faatihah in the first and second Rak‘ah of a prayer. Whoever does so will be abandoning a Sunnah according to the majority of Muslim scholars. The Imaam in such a case should not perform Sujood as-Sahw since it is prescribed to compensate for a worshipper's forgetfulness in the prayer.
However, if the worshipper deliberately neglected an obligation or a pillar of the prayer, his prayer is considered invalid and performing Sujood as-Sahw does not compensate for such a mistake.
If a worshipper neglects a Sunnah, his prayer is valid despite his mistake. However, even then, Sujood as-Sahw is not prescribed in such a case to compensate for such error.
Allaah Knows best.