Jeffrey,
A good drill for this, is to hold a heavy kettlebell in the down hand and practice this move unweighted. Pull hard on the handle during the roll, the resistance should help you feel the muscles you're targeting and keep them engaged.
Another thing about rowing in general, is that peoples shoulders tip forward many times due to incorrect muscle recruitment patterns. (I only mention this because it is very common).
It really helps to develop the correct pattern, in which the scapula stays depressed and the lat engaged. This gives you a stable base to row from, and should carry over into your getup.
Anyway, the heavy kettlebell should help you link up naturally, eventually you won't need it, but how the move feels with that shoulder packed should stay with you.
I don't want to go into to much detail about any one thing as much of this may be familiar to you. In any case I would be happy to explain anything that I left unclear.
Good luck!