Trusts only have to submit fingerprint/photo once ever 24 months as long as the trust hasn't been modified.
Here's what the link says
Q.
Will fingerprint
cards and photographs be needed for each person(s) identified as a “Responsible Person?”
A.
Yes. All individuals identified as “
Responsible Persons” are required to submit fingerprint cards and photographs. In addition, each “Responsible Person” is required to complete the Form 5320.23,
National Firearms Act (NFA) Responsible Person Questionnaire. (See instruction 2 d. (5) on the Forms 1, 4, and 5.) Fingerprint cards and the Form 5320.23 with photograph
attached must be provided upon every application submission.
Q.
If an application was approved within the preceding 24 months, are fingerprintcards and photographs required to be submitted with a new application?
A.
Yes. The 24-month exemption for providing supporting “documentation”refers only to the documentation proving the existence of an entity, such as trusts or corporate paperwork. The Form 5320.23 with attached photograph and fingerprint cards are required for each person identified as a responsible person for each submission in order to initiate the required background check. See instruction 2 d. (4) and (5) on the Forms 1, 4, and 5.