With a verb that has an object, the person made to act takes に. With an intransitive verb, を often implies “made”, に “allowed”.
Short answer: the causative means “make someone do” or “let someone do”. Group 1 verbs move to the a-row + せる (行く → 行かせる); Group 2 verbs take させる (食べる → 食べさせる); する becomes させる. Its most useful everyday form is polite: て form + ください, 休ませてください, “please let me take the day off”. Combined with the passive it means “be made to”: 飲まされた, “I was made to drink”.
Forming the causative
Causative verbs are Group 2: 書かせます, 書かせない, 書かせた.
Causative
Meaning
From
kakaseru
make/let write
書く
ikaseru
make/let go
行く
mataseru
make wait, keep waiting
待つ
tabesaseru
make/let eat; feed
食べる
saseru
make/let do
する
kosaseru
make/let come
来る
Make and let
The same form covers both. Bosses, parents and teachers “make”; permission “lets”.