For Hindu marriage solemnized in India between two Hindus domiciled in India only Hindu Marriage Act,1955 applies and the divorce can be granted by the district court/family court in India, who have jurisdiction to do so in the Act.
The foreign court deciding the fate/divorce of the parties covered under the Hindu Marriage Act, 1955 may not be valid in India and can be challenged by either of the parties in Indian court provided the party was not given the consent for the proceedings of divorce in the foreign court nor submitted the foreign court's jurisdiction.
As far Muslim Shariat law can by no means applies to Hindus domiciled in India, nor the Shariat court deciding divorce on the basis of Shariat laws between two Hindus will be valid under the Hindu Marriage Act, 1955.