When you want to talk about putting something in the middle of two other things, there are many ways to express this action. One alternative to using the phrase "put between" is to say "place amidst." This phrase conveys the idea of positioning an object within a larger context. Another synonym is "interpose" which suggests the object being added acts as a barrier or divider between two things. You could also use "insert" which implies the item being placed adds to or completes a sequence. Additionally, "tuck in" is a more casual way of saying "put between" and is often used in reference to arranging bedding. Whatever the context, there are many options for expressing this action in a more nuanced way.