What is the ruling on wearing clothes with names written on them, such as "Abdullah," by manufacturers, and what if the writing is on the back of the clothing (like a shawl)?

It is recommended to write "Sadaqa" (charity), "Zakat" (alms), or "Allah" on livestock designated for Zakat. It is permissible to write the names of producers or other things on clothing, and there is no harm in that, whether the writing is on the back or any other side.