Thank you for the report.
The description may be confusing, but the completion of the Needle & Thread series allows you to craft military 'clothing', not military 'armor'. Military clothing are the BDU Bottoms and the BDU Top.
The description says,
'Military Clothing: Learn to craft military grade battle dress uniforms which have the best protection against the elements.'
BDU is the abbreviation for 'battle dress uniforms'.