An haifi Abaei a shekara ta 1945 a birnin Karbala na kasar Iraqi mai tsarki, ya samu karbuwa sosai saboda gudunmuwar da ya kwashe shekaru da dama yana yi a fannin ilimin kur'ani da karatun kur'ani da gasar kasa da kasa.
A shekara ta 2007, yayin bikin karrama bayin kur'ani mai tsarki karo na 14 a kasar Iran, an amince da Abaei a matsayin wanda ya yi fice wajen bayar da gudunmawa a harkokin kur'ani mai tsarki, kuma an karrama shi a gaban shugaban kasar na lokacin.
Abaei ya fara aiki a matsayin alkali a gasar kur'ani mai tsarki ta kasa da kasa a shekarar 1985, inda ya ci gaba da rike mukamin har zuwa shekarar 2018, lokacin da ya yi murabus saboda rashin lafiya.
Fiye da shekaru 30 da suka gabata, ya rike matsayin jagoranci a wasu fitattun tarukan kur'ani a duniya, da suka hada da gasar kur'ani ta kasa da kasa da ake gudanarwa duk shekara a Iran.
An san shi musamman saboda yawan halartar gasar kur'ani mai tsarki ta Malaysia. A matsayinsa na alkali, ya wakilci Iran fiye da sauran takwarorinsa, inda ya halarci alkalan shari'ar sau biyu, sannan kuma Ma'aikatar Ci gaban Musulunci ta Malaysia (JAKIM), wacce ta shirya taron ta gayyace shi a matsayin bako.
An kuma nemi kwarewarsa a wasu kasashe da dama. Abaei ya taba zama babban alkalin alkalai da juri a gasar kur'ani ta kasa da kasa a Indonesia da Syria.
A shekara ta 1990, ya tafi Malaysia a matsayin mai ba da shawara ga Karim Mansouri, wanda ke wakiltar Iran a gasar kur'ani ta kasa da kasa ta shekarar. Karkashin jagorancin Abaei, Mansouri ya sami matsayi na biyu.
Baya ga yin hukunci, Abaei ya taka rawar gani wajen horar da al'umma masu karatun kur'ani da malamai masu zuwa.
Har yanzu ba a sanar da shirye-shiryen jana'izar da biki ba. Ana sa ran cibiyoyin kur'ani da al'adu a duk fadin kasar Iran za su karrama shi a cikin kwanaki masu zuwa.