I've made some research, and I found out that the Composer is Lorne Balfe. But I couldn't find anything about his work at "The Story of God with Morgan Freeman".
Band - Band of Horses
Song - "The Funeral"
This is not the song, I actually looking for the same song. The same song is playing at the very beginning of the Season 2 - episode The Chosen One According to https://www.imdb.com/title/tt6507724/fullcredits?ref_=tt_cl_sm#cast I see that for this episode were two guys in Music department.
Nicholas Fitzgerald ... music editor Steffen Thum ... composer: additional music
So my guess is on Steffen Thum, however I searched wherever I could, but wasn't lucky at all.
I will be very happy if anyone can give us more information about this heavenly beautiful music <3 thanks to everyone peace & love