phrases - meaning and usage of "in order the more"

The entire sentence needs rewriting. I suggest:

I do not do so to undermine the status of xy but, on the contrary, to
identify more securely certain aspects.

In other words, in order adds an unnecessary complication, and a second do is required at the start of the sentence.

In order the more securely to . . . is not ungrammatical, but it rather looks as if the writer is desperately trying to avoid placing anything between the particle to and the infinitive identify. If you must have in order, then Jim’s suggestions offer a solution.