Are the two divorces pronounced by the wife, who has not been consummated with, due to the husband's authorization, considered a valid divorce? Does she have an 'iddah (waiting period)? What is the ruling on her returning to him after each divorce? And what is the ruling on the wife's repeated requests for divorce for the most trivial reasons?

In summary: there is no iddah (waiting period) for a wife with whom intercourse has not occurred and with whom her husband has not had a valid seclusion (khalwah sahihah). He is not permitted to take her back except with a new contract.

What transpired between you two is not considered a valid seclusion upon which the rulings of consummation are based.

Based on this, the return (revocation) from the first divorce is invalid, and the second divorce did not occur because it did not apply to a valid relationship, as a minor separation (baynunah sughra) had already taken place.

It is forbidden for a woman to seek divorce from her husband unless there is a valid excuse.

And it is obligatory to consult scholars before embarking on any action.