Except for its types and non-artifact subtypes, Machine God’s Effigy copies exactly what was printed on the original creature and nothing more (unless that creature is copying something else or is a token; see below), and it will have “{T}:Add {U}.” It doesn’t copy whether that creature is tapped or untapped, whether it has any counters on it or Auras attached to it, or any non-copy effects that have changed its types, color, and so on.