The young boy pulled on his mother’s coat.
The finnish sentence and all the others on tatoeba (except for the japanese one) seem to misunderstand the meaning of the english original, as far as I can tell.
It does not mean “put on”.
This is what it means:
So a better translation would be:
Nuori poika veti äitinsä takkia.
or maybe even:
Nuori poika veti äitiään takista/takinhihasta/-liepeestä.