The ‘Two House’ is a very popular doctrine in the Hebrew Root Movement (HR) that believes in the 10 Lost Tribes of Israel, but like several of their doctrines it was made popular in America by the founder of ‘Worldwide Church of God‘ (WCG) Herbert Armstrong who vigorously promoted it. He believed this teaching was the key to interpret bible prophecy correctly & was the ‘central plank’ of his theology. Check some of WCG doctrines.
Whosoever transgresseth (G3845 = depart) and abideth (G3306 = remain, stay, continue) not in the doctrine of Christ, hath not God. He that abideth in the doctrine (G1322=teaching, instructions) of Christ, he hath both the Father and the Son. If there come any unto you, and bring not this doctrine, receive him not into your house, neither bid him God speed: For he that biddeth him God speed is partaker of his evil deeds.” 2 John 1:9-11