If he is draining bottles, you need to increase the volume of each feed (not just one bottle, but each one over the course of the day)... most are taking 4-5 ozs per feed, every 3 hrs at 2 months.
I would expect him to have a dreamfeed plus 2 night feeds at this age as well. If you are not doing a DF, expect him to eat as often at night as he does in the day time... ideally, at least 3 hrs between feeds for day and night.