Cayth, Famed Mechanist

If you can't put a +1/+1 counter on the creature for any reason as fabricate resolves (for instance, if it's no longer on the battlefield), you just create a Servo token.

Any "as [this creature] enters the battlefield" or "[this creature] enters the battlefield with" abilities of the new token will work.

The new creature token copies the characteristics of the original token as stated by the effect that created the original token.

If you control no creature tokens when you populate, nothing will happen.

You don't have to choose every permanent or player that has a counter—only the ones you want to add counters to. Since "any number" includes zero, you don't have to choose any permanents at all, and you don't have to choose any players at all.

The new token doesn't copy whether the original token is tapped or untapped, whether it has any counters on it or Auras and Equipment attached to it, or any non-copy effects that have changed its power, toughness, color, and so on.