What is the ruling on raising the voice with tasbeeh between the rak'ahs of Tarawih prayer, and communal du'a thereafter? And is it obligatory to leave those who do so, or to continue advising them despite their persistence in their action, especially since this has caused some worshippers to abandon Tarawih prayer in the mosque?

It was previously stated that congregational dhikr after every two units of Tarawih prayer is an innovation (bid'ah). One should continue praying with the worshippers and invite them to the Sunnah, for Allah will prepare those who accept the truth. However, if there is obstinacy and arrogance, then if it is possible to pray in another mosque that follows the Sunnah, that is preferable. Otherwise, praying in this mosque is better. The abandonment of mosques by the people of Sunnah due to innovations may lead to their increase, so you should pray in them and explain the Sunnah with gentleness and kindness.