To what extent is the hadith "My intercession is for the people of major sins from my Ummah" authentic, and if it is authentic, how does that not lead the perpetrator of a major sin to persist in it?

The hadith: "My intercession is for those among my Ummah who commit major sins" is authentic, and it is supported by what was narrated from Abu Hurairah (may Allah be pleased with him) that the Prophet (peace be upon him) said: "Every Prophet has a supplication that is answered, and I want to reserve my supplication as intercession for my Ummah on the Day of Resurrection."

However, this hadith should not be understood as an open door to committing major sins or trivializing their gravity. Indeed, Allah is severe in punishment, and some members of the Ummah might be prevented from reaching the Prophet (peace be upon him) at the Hawd (Pond).

A Muslim must not prioritize texts of promise over texts of warning. Committing major sins weakens faith and may even lead to disbelief, in which case intercession would be of no benefit.