"To" has a lot more functions than "in order to", so let's just talk about the area of overlap.
Generally, in a sentence such as "I need eggs (in order) to make a cake", the "in order" is fine, but somewhat superfluous. It does tend to emphasise the purpose a bit more, so you might say "I read the report only in order to know their recommendation" if you really weren't particularly interested in the report as such but you did need to know the outcome. But if you say "I read the report only to be very disappointed with their recommendation", you presumably didn't set out to be disappointed.
Also, "in order to" can sound better when you already have a "to" associated with the verb: "I talked to my boss in order to understand my work goals".
Sometimes it can help disambiguate. If I say "I want you here to present our work", that probably means I want you to be here, and I want you to present our work. But if I say "I want you here in order to present our work", it means I have the intent to present the work, but I need you here (in order) to do so effectively.