A guide for the position of all shrines from which you collect the artifacts for the Ancient Race mission (mission spoilers; minor map spoilers).
Starting The Mission
You start the mission by first visiting the Mysterious Shrine in the Badlands region:
Talk to the Machinist (She will be roaming the inside of the shrine when you first visit):
Open the shrines by driving through the blue rings and collect the artifact inside:
There are 6 shrines, 1 in each region (except the starting region). The shrines are marked by the blue way-points:
Finishing The Mission
Once you collect all the artifacts place them on the round pedestals inside the Mysterious Shrine:
Talk to the Machinist again. She’ll ask you to wait a few days (Please help confirm how many), then speak to her again (she’ll be at her ship this time) to finish the mission.