Sad to say, I can't accept you as an authority on the subject. Perhaps you can provide an official Catholic Church position on the subject of the authenticity of the "Apostolic Constitutions".
Until then consider the subject closed.
A collection of ancient ecclesiastical decrees (eighty-five in the Eastern, fifty in the Western Church) concerning the government and discipline of the Christian Church, incorporated with the Apostolic Constitutions (VIII, 47). They deal mostly with the office and duties of a Christian bishop, the qualifications and conduct of the clergy, the religious life of the Christian flock (abstinence, fasting), its external administration (excommunucation, synods, relations with pagans and Jews), the sacraments (Baptism, Eucharist, Marriage); in a word, they are a handy summary of the statutory legislation of the primitive Church.
You seem to be confusing the authorship of the books -- unknown, -- with whether they reflect the legal environment of the Early Church, -- they do.