A Cute Alcohol Can

On Father's Day, my five year old daughter some bottles of alcohol to her father.

I thought this can looked like too sweet of a drink for men, but it was not a present from me, but instead from our daughter so I didn't give her any advice.

Therefore, I didn't take any advice to her.

This is a plum flavored alcoholic beverage.

I think a liqueur is stronger.

I thought it was funny to buy a drink in such a cute can for a man!

I thought this can was too sweet to drink for men. But, it was not mine. It was a gift from our daughter.

It is a plum tasted liqueur.

On Father's Day, my five year old daughter gave some alcohol cans to her father.

"gave some alcohol cans" sounds like the cans are empty. "alcohol" is more appropriate here, because your daughter intended to give her father the drink, not the cans themselves.

She selected picked out some cute cans when she went to a the supermarket with me.

"Selected" is acceptable, but sounds very formal.
"went to a supermarket" sounds strange. "the supermarket" is commonly used: This is due to an old Western custom of living in a small town, where there was only one supermarket, one barber, one bakery, etc.

I thought this can was too sweet to drink for men to drink. However, it was not mine, but a gift from our daughter.

"to drink for men": Subject first in this case - "for men to drink".
This sentence is too long. I have added a period.
"but it was not mine but a gift from our daughter": There needs to be some punctuation here.

Therefore, I didn't take any advice to her.

I'm not sure what this sentence means. My apologies.

This is a plum tasted liqueur. The drink tasted like plums.

"Liqueur" isn't often used. "Drink" is more appropriate.
"Plum tasted liqueur" doesn't make sense. From that, it sounds like the plum tasted the drink, not that the drink tastes like plums.

I thought it was a little funny to drink a cute can of alcohol for a man!

You don't drink a cute can; you drink the CONTENTS of the cute can (alcohol).
"for man" = "for the entire human race". "for a man" = "for a single male of the entire human race".

On Father's Day, my five-year-old daughter gave some alcohol cans to her father.

Therefore, I didn't give any advice to her.

I thought it looked a little funny that a man was drinking from a cute can!

On Father's Day, my five-year-old daughter gave some alcohol cans to her father.

She selected some cute cans when she went to a supermarket with me.

I thought this can was too sweet to drink for men, but it was not mine, but a gift from our daughter.

don't forget your commas

Therefore, I didn't give her any advice on which can to choose.

sounds more natural this way

This is a plum-flavored liqueur.

I thought it was a little funny to see a man drink from such a cute can!

sounds more natural this way