Responsive nav sidebar with company logo and information

Currently, our team's browser app looks like this:

up to this point, we built our app to target desktop. However, because we're moving to Android, it is imperative that we can also effectively target mobile devices. Upon trying to emulate that, through the Developer Console, the screen looks like this:

The nav side bar and the company info are both gone! Furthermore, if we place a menu button next to our company logo, it may create confusing UX, as the end-user could easily fat-finger the menu button and end up hitting our logo instead. What would you advise we do, with respect to this?