Can the salary spent on the family be considered an ongoing charity (ṣadaqah jāriyah) on behalf of the deceased father, especially since it falls within the scope of charity as mentioned by the Prophet, peace and blessings be upon him?

We congratulate the questioner on her expenditure on her family and children, and we ask Allah to grant her success and full reward. This expenditure is a great charity with immense reward. It is permissible to dedicate the reward of this expenditure to the deceased father, for the reward of charity given on behalf of the dead reaches them without dispute.