Authentic. It was narrated by Muslim (5/67) and those mentioned alongside him. It is also documented in al-Irwā’ (1598).

274—([According to another narration]: “Do not ask me to witness injustice. Your children have the right that you treat them equally, just as you have the right that they show you dutifulness.” Narrated by Abū Dāwūd.) p. 222

Weak with this wording. Abū Dāwūd (3542) narrated it by way of Ahmad, who included it in al-Musnad (4/270), through Mujālid, from al-Sha‘bī, from al-Nu‘mān ibn Bashīr. Mujālid is Ibn Sa‘īd, and he was not strong, as stated in al-Taqrīb. A number of trustworthy narrators related it from al-Sha‘bī without mentioning Mujālid’s addition: “Your children have the right…” As for the words, “Do not ask me to witness injustice,” they are authentically established, but they do not occur in this narration of Abū Dāwūd or in any other narration of his. They are found only in the two Sahīhs and other collections, as documented in al-Irwā’ (1598).

In another narration of Abū Dāwūd, through Dāwūd, from al-Sha‘bī, he said: “Would it not please you for them to be equal in dutifulness and kindness toward you?” He replied: “Yes.” He said: “Then ask someone other than me to witness this.” Its chain of transmission is authentic according to Muslim’s criteria.

275—([According to another narration]: “Fear Allah and treat your children equally.” Narrated by al-Bukhārī and Muslim.) p. 222

Authentic. It is documented in the preceding source.

276—(A man came and asked the Prophet (peace and blessings be upon him): “Who is most deserving of my good companionship?” He replied: “Your mother.” He asked: “Then who?” He replied: “Your mother.” He asked: “Then who?” He replied: “Your mother.” He asked: “Then who?” He replied: “Your father.” Agreed upon.) p. 223