[kinda]

your pre-workout meals should be protein/carb meals so you will have energy to lift. I would wait an hour after eating to lift, 45 minutes at least, maybe. Trying to lift weights while digesting food will put too much strain on your body and you'll more than likely yak everywhere (I learned this the hard way).

Your first priority after lifting weights is your post workout shake. You have a short window to get enough protein to your muscles so they can receive the maximum benefit from it.

I've never heard anyone else say what that guy told you, and it seems really off to me. The way to burn the most fat from cardio is to do 45-60 minutes of light cardio @ 65-70% of your target heart rate (220-age) first thing in the morning on an empty stomach. This level of cardio will burn off the most fat as higher intensity cardio will burn away protein/muscle after depleting the carbs.

Whatever type of cardio you choose, I highly recommend separating lifting from cardio.