مُوَحَّدَةً means the noun must be singular, not dual or plural.
أَبُوكَ: your father; singular, so this condition is satisfied.
أَبَوَاكَ: your two parents; dual, following its own case rules.
آبَاءٌ: fathers; plural, not the singular six-noun pattern.
The meaning “father” or “brother” is insufficient: examine the word form as well.