Solid Hardwood, Engineered and Laminate Flooring - Transition moulding problem??

Im still at it but basically done. ;) Im at a stump now with the moulding. There is ceramic tile at the entrance of my front door. Where the tile ends, my pergo job starts. I canot find the appropriate transition piece for this spot. At the edge of the tile, it drops down approx. 2/3 cm to the pergo. I have tried placing a wood T-moulding there, but theres a significant gap between the level of the T-moulding and pergo.
Does anyone have any ideas???:confused:

You might be able to use a carpet endcap reducer, butted up to the tiles. Then any gap on the tile side, fill with color matching, sanded acrylic grout caulking, to match your grout. Tape off the molding, grout fill, and peel the tape for a crisp clean line. :thumbup: