Kidwai has an alternative spelling of Qidwai, you will see the two interchanged

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GENEALOGY OF QAZI MOIZ UDDIN :

Available chronicles show that Qazi Qidwa’s lineage (henceforth, this short name, which is more popular, will be used) connects him to Hazrat Adam, and rightly so, since Muslims believe that mankind started its existence on this earth when Adam and his wife were deported from heaven. Thus the available chronicles show the lineage connecting Qazi Qidwa to Hazrat Adam. The accuracy of these Shijras is very difficult to establish. Some of them put Qazi Qidwa in the 54th generation from Hazrat Adam, some at the 57th generation. These Shijras agree with one another until the appearance of Hazrat Yaqub aleh es Salaam, grandson of Hazrat Ibrahim, whose laqab was Israel. Israel is an Arabic word made up of two syllables–’Isra’ and ‘el’. The first syllable refers to the person who travels during the night, and ‘el’ is only a consonant. How this word was coined for Hazrat Yaqub is described in the Bible in Chapter 27 of Genesis and Qasas-ul-Ambia. It has been said that one day Hazrat Ishaq, the father, asked for some food, which was served by one of his sons. Ishaq, being blind in old age, thought that Aes, his elder son, had served the food, and he therefore blessed him by saying, “You will become the next Prophet”. In reality, it was Hazrat Yaqub, the younger son, who served the food and thus received the blessing. Hazrat Aes was distrurbed when he learned of the blessing, since he, being the elder brother, should rightfully have received his father’s blessing. To diffuse the situation, Hazrat Yaqub andhis family left his father’s house and traveled through the night. This act on the part of Hazrat Yaqub gave him the laqab of Israel. Thus, Bani Israel means “a progeny of Hazrat Yaqub” and nothing more, and the notion that all Bani Israelites are Jews is not correct.

The first deviation in the available Shijras takes place when some of them show the lineage of Qazi Qidwa through Hazrat Yaqub’s elder son Yahuda and others through the younger son, Lava. Again, there are two deviations through the two sons of Yahuda, Oman and Farsam. Thus we have three Shijras: one from Lava, one from Farsam and a third from Omar. The two from Lava and Farsam show Alexander the Great at the sixth generation from Hazrat Moosa and carry on through Salim, shown as a son of Alexander. This seems to be incorrect; it is known that Alexander did not have any progeny, and consequently, his empire was distributed between his generals after his death. There is only one Shijra that is from Hazrat Ibrahim through Hazrat Yaqub, Yahuda and Omar, which probably shows Qazi Qidwa’s lineage correctly. However, w e are still not sure about this because the gap between Prophet Muhammad and Qazi Qidwa is only of six generations, while time period elapsed between the two individuals’ lives is about 6000 years. Therefore, the dynastic lineage through Malik Danishmend Ghazi, who was connected to Saiyed Battal, may be taken as the most likely true genealogy of Qazi Qidwa (See Annexure 11).

[Biographical sketch of Kidwais of Avadh : with special reference to Barabanki families pub. 1989
by Riaz-ur-Rehman Kidwai, out of print]