Answer by Monthly Al-Sunnah, Jhelum
Giving Fidya (compensation) for a missed Sajdah Tilawah is unproven and non-Shar‘i. It is an unnecessary hardship and resembles the practices of the People of the Book (Ahl al-Kitab).
Opinion of Mufti Muhammad Shafi‘ (رحمه الله)
Mufti Muhammad Shafi‘ (رحمه الله) writes:
"If Sajdah Tilawah is missed, then as a precaution, one should give charity equivalent to one and three-quarter seer (approximately 1.6 kg) of wheat or its monetary value. And Allah knows best!"
[Jawahir al-Fiqh: 1/393]
Lack of Evidence
There is no authentic Islamic evidence supporting this practice, as Mufti Muhammad Shafi‘ (رحمه الله) himself did not provide any proof for this ruling.