Are there any remembrances (dhikr) to be recited before prayer, such as "Subhan Allah" (Glory be to Allah) and "Astaghfirullah" (I seek forgiveness from Allah) 10 times, and what is the degree of their authenticity?

The specific remembrance before prayer is an innovation (bid‘ah). When the Prophet, peace and blessings be upon him, stood for prayer, he would say: "Allahu Akbar (Allah is the Greatest)," and he did not say anything before it, nor did he ever articulate the intention.