Push harder.
Seriously, make sure the rails on the drawer are inserted properly into the slides on the cabinet, and if they are, there will be a small "tick" as they pass the black tabs. You do not have to move the black tab arms to insert the drawer, only to remove them.
What I do is push the sliders all the way in, then grab the drawer and line up the rail on the right side and just insert the rail about 1/4" and then line up the left rail and then push the drawer in..