After Inko gave birth to twins and had them for 4 years she abandoned Izuku because he doesn't have a quirk and mostly because he was All might child along with Izumi. When both Inko and Izumi made it home he asked where was Izuku and she told him she abandoned him die to him being quirkless and he got mad because of one of the 2 was quirkless he was gonna give his quirk to one of them so he divorced Inko allowing her to keep Izumi as he looked for Izuku and did to train him to inherit his quirk threw out the years and build a good father son relationship.
Ship
Izuku x Momo
In this one Izuku met Momo at the recommendation site and they both are very good friends that lead to them both dating each other which Izumi becomes jealous.
Tags
Dad might
Bitch Inko
Izumomo
Jealous Izumi
Kicked out
Izuku loves Momo
Momo loves Izuku
OFA