Quote Originally Posted by HDOGG View Post
Thanks!...here's the context:
Under authority is to say under the control of someone or some organization
first shipment coming soon = first shipment (of rice for example) is coming soon
if you need help etc = if you need help please contact this email

Hope this helps
Under authority is to say under the control of someone or some organization = ПО РАСПОРЯЖЕНИЮ / ПОД РУКОВОДСТВОМ (КОГО-ЛИБО) made under the authority of -

first shipment coming soon = ПЕРВАЯ ПОСТАВКА - СКОРО

if you need help etc = НУЖНА ПОМОЩЬ? (ТРЕБУЕТСЯ ПОМОЩЬ?)

P.S. The first one really depends on the context though (can also be "в соответствии с законом" - if concerning some law / legal act)