I don't think a game is the right time to try and change the playstyle of your partner. You've already been playing for months, years, you'll be stuck with what you've learned during that time for the next 90 minutes. If your concern is improvement, then remember that getting the best out of your teammate is also a form of your personal improvement, being a better player also means being a better teammate that brings the most out of the person next to you. It's about body language, positivity,..
When your teammate makes a mistake, he knows he did so, your only job here is to not make that lingering thought worse. That depends on your teammate but I often say nothing at all, just communicate positivity and energy, don't roll your eyes, drop your shoulders or drag your feet, instead you should signal that the focus is on the next point. If they complain about themselves I usually reassure them briefly because these angry outburst are often disguised apologies.
Instead of focusing on how you both play, analyze the opponent and talk about their weaknesses and how to exploit them. And discuss issues from the point of a team, never "you" or "me".
Then after the game you can discuss where the issues are and plan a training to improve on it.