'Ordered' + object + past participle

Fowler’s Dictionary of Modern English Usage, page 852 reads

The construction ordered + object + past participle (often expressed
in the passive) is first recorded in 1781 in AmE ( These things were
ordered delivered to the army—J. Witherspoon). BrE normally requires
the insertion of to be before the past participle.

OED reads: Also with ellipsis of ‘to be’ (chiefly U.S.), but every example is in the form ordered too.

What is the reason behind this structure of ? I cannot recall anything similar in grammatical terms.