If you cast the spell by paying its entwine cost, the tokens don't enter the battlefield at the same time. The token that's a copy of the artifact creature enters the battlefield first, followed by the token that's a copy of the nonartifact creature. Then any abilities that triggered due to either of them entering the battlefield are put on the stack.

The token copies exactly what was printed on the original creature and nothing else (unless that permanent is copying something else or it is a token; see below). It doesn't copy whether that creature is tapped or untapped, whether it has any counters on it or Auras and Equipment attached to it, and so on.

If the copied creature has {X} in its mana cost, X is 0.

If the copied creature is a token, the new token that's created copies the original characteristics of that token as stated by the effect that created that token.

If the copied creature is copying something else, then the token enters the battlefield as whatever that creature copied.

Any enters-the-battlefield abilities of the copied creature will trigger when the token enters the battlefield. Any "as [this creature] enters the battlefield" or "[this creature] enters the battlefield with" abilities of the chosen creature will also work.