Correct. You identified 'My father' as the subject. My brother and me are the objects in that sentence.
Lorraine M.
asked 08/17/22I or me (subject of the sentence)
My father didn’t encourage my brother and I to bond.
should this be ‘my brother and me’ (because parents is the subject?)
2 Answers By Expert Tutors

Jodi K. answered 08/17/22
Certified English (7-12); 7+ years classroom experience
Without getting grammatical, a student can tell when to use "(noun and I" or "noun and me" by removing the second person from the equation.
My father didn’t encourage my brother and I to bond.
My father didn’t encourage my brother and me to bond. <--- correct
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