Is there any reservation for home state candidates for XLRI and is there any preference for girls in XLRI?

To get into XLRI, one has to make it to their merit list. You are wrong to believe that one has to secure a sort of special preference just because they are a "home candidate" in particular.

XLRI neither is under any such compulsion nor does it reserve any seats for any candidate like that. As a matter of fact, no institute does that. Just like the boys, the girls who are admitted at XLRI too possess the apt skills and smartness it takes to reach there. Whatever is taught to girls is similar to what is taught to the boys too. Believing in a misconception like that should be corrected right away.

To conclude, all I would like to say is that be it XLRI or any other institute- not even a single one of them in today's time cares about gender preference. If you are smart, you would be welcomed and respected everywhere.