While a trustee needs to sign the Form 4 or Form 1, no additional paperwork is required because a NFA Gun Trust is being used. Other Trustee’s do not need to sign the paperwork, if you are using a properly drafted NFA trust that authorized any Trustee to make the purchase without consent of the other trustees.
This is something that you may want to modify in your trust and should talk with a Gun Trust Lawyer® about.
In addition, the trustees do not have to include fingerprints or go through a background check by the CLEO as is required by an individual. NOTE: Most states and gun stores will run the NICS check on the person who is picking up the weapon, upon approval by the ATF.