It's a difficult situation: in order to connect to it more, you have to play it better, but in order to play it better, you must connect to it more.
Without hearing you play it myself, of course I cannot give you detailed or specific advice. Two things, however, I can say for certain which will help. Firstly, on the subject of depth. Brendel writes that we must think of depth as an actual, three-dimensional space. The greatest pianists understand this, and create marvelous quality of tone that constantly reflects this understanding, regardless of the music they play.
Secondly, on the subject of working on your interpretation. Make videos of yourself. Watch them, score in hand. Reflect on the work you have done, and repeat the process. When you have done that and feel ready, post your performance here. You will get different opinions, some maybe good, some maybe not so good, but at least you'll have ideas to work on and/or with.