Dear Client,
In your case, since a valid and registered gift deed was was five years ago, your mother is the absolute owner of that property. In Indian law, unless fraud, coercion, or undue influence is proved, a registered gift deed is incapable of being revoked. There is no case where an increase in property prices has opened up legitimate grounds to challenge such a gift deed.
Now, if you want that very property to be further registered in the name of your mother then it is not possible as the gift deed is enough to transfer the ownership and the property is already under her name legally. No further registration is required.
If you want to transfer a portion of the property to your father, your mother can make a gift deed in favour of your father for a part of the property. The steps which have to be followed are:
1. Drafting of a fresh gift deed transferring a part of the property of your mother in favour of your father.
2. Payment of Haryana stamp duty and registration fees.
3. Gift deed must be presented before the Sub-Registrar in the local Sub-Registrar's office, who would register it.
This would mean that legally your father is also a co-owner of the property. The donee and donor, however, being alive explains that the original gift deed is strengthened and less likely to stand any chance of being challenged.
Thank you.Hope this answers your query.