You mean there is no shoe molding under the baseboard at the tiled area?
Just match what is at the pillar, looks like a basic Brosco molding from here.
End it just as the hardwood was done.
Or you could just change all those little bottom pieces, one 8 footer should do.
If you mean the tile and carpet connection, good luck, there is no nice solution. Even some trim there will look out of place, I would leave it alone and work down your list.