I don't worry too much about expiry dates and eat things anyway.
I'm not too concerned about expiration dates on foods and eat them anyway.
この場合、次のような言い方ができます。
ーI don't worry too much about expiry dates and eat things anyway.
「消費期限とかあまり気にしないで食べちゃう」
I don't worry too much about ... で「…についてあんまり気にしない」
expiry dates で「消費期限」
ーI'm not too concerned about expiration dates on foods and eat them anyway.
「食品の消費期限とかあまり気にしないで食べちゃう」
I'm not too concerned about ... で「…についてあまり気にしない」
expiration dates で「消費期限」
ご参考まで！
カナダ 
