to classify properly /to properly classify

A software may enable the platform to properly classify the conflict. This sentence sounds fine to me.

The most important error in your sentence is that software is an uncountable noun; therefore, a software is ungrammatical.  The counting word used with software is a piece of (A piece of software may enable... if you are referring to any piece of software),  or a possessive pronoun + software (our software may enable..., if you are referring to your company's software), the software (if you have mentioned the software previously in your text, especially, but not only, if it is proprietary to your company), or if you are using software in a general/generic sense, you don't need the counting phrase (Software may enable..).

As for your main question, about to + adverb + infinitive verb or + to + verb + adverb, there are some old-school, to my mind misguided, grammarians who will tell you that it is always unacceptable to split an infinitive (for example to + adverb + infinitive verb, like to properly classify), and others who will insist that a split infinitive like to properly classify is perfectly fine.  I suggest that you avoid this nonsensical debate altogether by placing the adverb properly at the end of the clause, for example A piece of/our/0/the software may enable the platform to classify the conflict properly.

I hope this helps.