Using male pronouns instead of genderless/more inclusive pronouns in your speech is indicative of a bad managing style (or just bad style all together). As a manager you should be inclusive of all genders both directly and indirectly, which includes how you use whatever language you speak.
The people you manage could easily identify with a gender that is not physically obvious and using incorrect pronouns leads to a less inclusive and potentially more hostile workplace. This is Management 101.
I think that is still poor and confusing English when not talking about a specific person. I notice people do this when trying to make speech more inclusive, and I still struggle with parsing the sentence because of the unnessisary gender being mentioned.
Please reflect on whether this is the best you can contribute to a thread about being an engineering manager.