Praise be to Allah.
I put this question to our shaykh, ‘Abd ar-Rahmaan ibn Barraak (may Allah preserve him), and he replied that there is no reason not to do that, so long as it serves a purpose and it will not cause a disturbance to some of them.
In the beginning, the Sahaabah used to pray Taraweeh in more than one congregation, until ‘Umar united them in a single congregation.
Al-Bukhaari (may Allah have mercy on him) narrated in his Saheeh (2010) from ‘Abd ar-Rahmaan ibn ‘Abd al-Qaari’ that he said: I went out with ‘Umar ibn al-Khattaab (may Allah be pleased with him) one night in Ramadan to the mosque, where we saw the people in scattered groups, one man praying by himself, and another man praying with a group of people following his prayer. ‘Umar said: I think that if I unite these people behind one reciter, it will be better. Then he decided to do that, so he united them behind Ubayy ibn Ka‘b.
And Allah knows best.