Dua and supplication of father for his children is not rejected
It was narrated that Abu Hurayrah said: The Messenger of Allah (blessings and peace of Allah be upon him) said: “There are three prayers that will undoubtedly be answered: the prayer of one who has been wronged; the prayer of the traveller; and the prayer of a father concerning his child.”
Narrated by at-Tirmidhi (1905), Abu Dawood (1563), and Ibn Maajah (3862); classed as saheeh by al-Albaani in Saheeh at-Tirmidhi .
Dua and prayers of mother
Al-Azeemabaadi (may Allah have mercy on him) said:
“the prayer of a father” – i.e., for or against his child. The mother is not mentioned because her right is greater, so her prayer is more likely to be answered.
‘Awn al-Ma‘bood , 4/276.
Dua and supplications of mother
An-Minnaawi (may Allah have mercy on him) said:
“the prayer of a father for his child” – because he sincerely loves him and gives him precedence over himself. Because he is so sincere towards his child, his supplication is more likely to be answered. The mother is not mentioned, despite the fact that she has more right and is closer to her son, which means that her supplication is more likely to be answered than that of the father, because that is self-evident.
Fayd al-Qadeer , 3/301.
Shaykh Muhammad ibn Saalih al-‘Uthaymeen (may Allah have mercy on him) said:
“the prayer of a father” – in some versions of the hadith it says “against his child” and in some version it is not mentioned; in other words, the father’s prayer may be for or against his child. This is the more correct version; the father’s prayer for or against his child will be answered. As for his praying for him, he prays for him out of compassion and mercy, and whoever shows mercy to people, Allah, may He be glorified and exalted, will show mercy to him. As for praying against him, he cannot pray against his son unless the son deserves that, and if he prays against him when he deserves it, then Allah will answer his prayer.
Prayers, dua and supplications of three persons are not rejected
These are the three answered prayers: the prayer of one who has been wronged; the prayer of the traveller, and the prayer of the parent, whether that is the mother or the father.
Sharh Riyadh as-Saaliheen (3/157), Dar Ibn Haytham edition.
Ref: Islamqa.en/ info
Hence, parents should frequently supplicate and make duas for their children
Dua of father, Supplication and invocation of father is accepted.