Do two consecutive divorces, occurring in a state of anger, count as two divorces necessitating a new marriage contract, and is it required to document them with the Sharia centers?

It is not permissible for a wife to seek divorce without a legitimate Islamic excuse, and whoever does so will be deprived of the scent of Paradise.

If the husband divorces his wife while she is under his marital bond, using an explicit word or an allusive phrase with the intention, the divorce takes effect. If he divorces her after the marital bond has ceased, it does not take effect.

So, if it was the second divorce and the wife was under his marital bond, two divorces are counted, and the husband may take her back before the 'iddah (waiting period) expires, unless this divorce completes three divorces. There is no need for a new marriage contract unless the 'iddah has expired. If the 'iddah has expired, a new contract is required. If the second divorce occurred after the completion of the 'iddah without reconciliation, it does not take effect, and she becomes lawful for him with a new contract, provided it does not complete three divorces.

Documenting the divorce is not a condition for its occurrence, but it is preferable to prevent disputes.

The divorce of an angry person does not take effect if his anger is so severe that he does not comprehend what he is saying. However, if he comprehends what he is saying, then it is valid.