Is there an authentic Hadith that proves the virtue of reciting Surat Al-Fatihah, two verses from Al-Imran: "Say, 'O Allah, Sovereign of all sovereignty,'" and "Allah bears witness that there is no god but He," and Ayat Al-Kursi after every prayer?

Reciting Ayatul-Kursi after every prayer is legislated, according to the Hadith of Abi Umamah. As for reciting Al-Fatihah, "Qul Allahumma Malika Al-Mulk," and "Shahida Allahu" after the prayer, there is no evidence for its legislation in any authentic, good, or weak Hadith, and it is most likely that it has no basis.