Hi!
I think I remember seeing Radha holding a small baby in the photograph of Palekar Mansion, when Yug visited it for the first time!
I don't think it is Sophia, as I'm pretty sure Sophia is definitely Peter and his ex wife's real daughter. He has always talked about her childhood lovingly and also compares her appearance/behaviour with her mother's.
I agree with Anjali that making Yug Veronica's long lost son will completely not make sense with Yug and Sophia's relationship UNLESS Yug turns out to be Keith's son and not Peter's. Which will still be weird because Sophia definitely treated Alex like her own brother. However, I think we had discussed it before that age-wise, Yug is still not likely to be Sophia's brother because Alex was shown to be a few years younger than Sophie.
I still believe that it is likely Yug belongs to the Palekar family itself, making him the rightful owner of the mansion anyways. I don't know if he could possibly be directly related to them, as he would be around 20 years younger than Ria and Ishaan - too young to be their sibling - and Ria and Ishaan themselves look too young to be parents. Well, Riya definitely cannot be Yug's mother but if Ishaan was a rather promiscuous person in the day, who knows...
But anjali might also be right, that the picture can be an old pic of when Ria and Ishaan were small. Lets see how far they go with the story.
Still, he might be an indirect relative, like a cousin or nephew.
I really hope he is related to the Palekars and not the D' Costas!