@GoodAttention
Their relationship with Terah and Abram, as well as their travels, would be considered a matriarchal or patriarchal society, or could they possibly combine the two?
My opinion regarding your question is that Terah and Abram would not be considered a "society" given they are both individuals. However they are considered patriarchs who are important male ancestors to the story written in the Hebrew scriptures.
Of interest to me are the "cultural norms" for Rebekkah, who is the descendant of Terah (twice) through Haran via Milcah, and also Nahor, when it comes to marriage. Specifically, there seems to be a dowry type payment of sorts as she is gifted with both gold bangles and a nose ring/forehead jewelry, when being betrothed to Isaac. The servant on behalf of Abraham must also acknowledge Rebekkah's consent to marriage, as directed by her family, before she travels with him. This, to me, reflects at the very least a significant level of respect for women which could reflect sex-equality/ matriarchal-type society, in contrast to other societies of the time. The line “I am the daughter of Bethuel, the son that Milkah bore to Nahor" (Genesis 24:24) spoken by Rebekkah seems to both emphasize herself as daughter and acknowledge her grandmother, although in conjunction/in balance with her father and grandfather. Later on in Genesis, Laban describes to Jacob the importance of "giving away" the first daughter before the second, again dictating the "cultural norm" of their upbringing.
The relationship with Terah and Abram is a shadow in comparison to the relationship that exists between Abram, Sarai, and God. If Abraham is a patriarch, then I see Sarah being a matriarch in conjunction. It is my opinion that there is acknowledgement of the importance of both women and mothers in this story, in addition to Abraham "the father". So we could say the story does combine both matriarchal and patriarchal respect, taking also from the understanding that Sarai is considered a "daughter" of Terah.