What is the ruling on the 'Salat Birr al-Walidayn' (Prayer for Filial Piety) and the 'Salat Qada' al-Fawa'it' (Prayer for Making Up Missed Prayers) mentioned in the question?

The "Birr al-Walidayn" (Filial Piety) prayer performed congregationally after Maghrib is an innovation (bid'ah) for which there is no evidence in the Shari'ah. Sheikh al-Islam Ibn Taymiyyah mentioned similar innovative congregational prayers. As for the mentioned hadith regarding the virtue of praying two rak'ahs after Maghrib with a specific recitation, Al-Hafiz Ibn Hajar, in "Al-Matalib al-Aliyah," ruled it to be Mawdu' (fabricated). Furthermore, supererogatory (nafilah) prayers do not compensate for missed obligatory (fard) prayers.