English is not my mother language but I will tell you my opinion!
In 'Syntax and Grammar of English Language' of P. Koutsoumpos I found the following :
Possessive adjectives
That is my pencil.
That is your pencil.
That is his pencil.
That is its pencil.
That is our pencil.
That is their pencil.
The words my, your, his, her, its, our and their are possessive adjectives.
Possessive pronouns
That pencil is mine.
That pencil is yours.
That pencil is his.
That pencil is hers.
That pencil is its.
That pencil is ours.
That pencil is theirs.
The words mine, yours, his, hers, its ours and theirs are possessive pronouns.
"Grow" is a verb! "Grow up" is a phrasal verb! "Grow" and "grow up" have different meanings!
We use "grow" to talk about something getting physically bigger or longer. We can say "My grass is growing" or "My bank account is growing" or "Does your hair grow fast or does it grow slowly?" or "What is the best way to grow a business fast?" or "What should I do if I need to grow my bank account?"
We use "grow up" only to talk about people becoming more mature. Using "grow up" implies that the thing is human. We can say "Where did you grow up?" or "What movies were popular when you were growing up?" or "What was your favorite meal as a kid growing up?" or "What is the best thing about watching your niece grow up?".
"Your and my grandparents had grown listening to this piece of music."This phrase is wrong!
"Both your and my grandparents had grown listening to this piece of music." This phrase is also wrong!
"Your grandparents and mine had grown up listening to this piece of music" or "My grandparents and yours had grown up listening to this piece of music". These phrases are correct! You cannot write "had grown" in these phrases. It would be wrong! We always say "had grown up"!
"They are mine grandparents" or "They are yours grandparents". These phrases are wrong! We cannot use mine or yours when there is a following noun!
"Yours and mine grandparents had grown listening to this piece of music." This phrase is wrong! In English we say:'' These grandparents are mine'' or "These grandparents are yours".
"The grandparents of yours and mine had grown up listening to this piece of music." This phrase is wrong!They say:"Our grandparents had grown up listening to this piece of music. "
"Your and her grandparents had grown listening to this piece of music."This phrase is wrong!They say:"Their grandparents had grown up listening to this piece of music. "
"Yours and her grandparents had grown listening to this piece of music." This phrase is wrong!
" Yours and hers grandparents had grown listening to this piece of music."This phrase is wrong!
" Your and Elizabeth's experience was entirely different."This phrase is wrong! We can say:"Your and Elizabeth's experiences was entirely different" or "Elizabeth's and your experiences was entirely different".This phrase refers to the present. In this phrase we can also use "are" to refer to the present. We can say:"Elizabeth's and your experiences are entirely different". We can also use "were" to refer to the past. We can say:"Elizabeth's and your experiences were entirely different".
