Anna, вы ЭТО называете "перевод"?!

Мы с мамой на моЙДень РождениЯ пригласили гостей. МЫ с мамой решили сами испечь торт и я пошла в магазин. Я купила яЙца, упаковку муки, бутылку молока_и банку варенья

Anna, that's not a translation, that's a correction, which you can do directly to the original post when you add a translation.

Hi, Улий! It's better to say "my Mum and I...". That is more British.
What do You, as a native speaker think? By the way :" we bought some eggs..." sounds better.

Hi Anna! First of all, thank you for your advice. I’m an American, so I don’t use the word MUM. Also, in this context, the girl didn’t just buy some eggs, she bought eggs to make a cake, which makes them specific. Of course, you COULD use some here too - but I wouldn’t.

Thank you, Улий!
But first of all, I meant : "My Mom and I", not "I and my Mom". The British are so polite that they put another person first.

But I did put the mom first 🤔

I'm sorry. Obviously, I wasn't careful enough 😕😊.

No problem 😉