on someone's account idiom
为了…的缘故
If something is said to be on someone's or something's account, it is because of that person or thing.
I'm not very hungry, so please don't cook on my account (= don't cook just for me). 我不是太饿，所以请不要特意为我做饭。
They were tired, but not any less enthusiastic on that account. 他们很累，但是他们的热情并没有因此而减弱。