Solid Hardwood, Engineered and Laminate Flooring - transition problem - laminate to linoleum

I have installed Pergo in my dining room. There is a single transition (open doorway) between this room and my kitchen. The kitchen has linoleum on the floor.

I have purchased Pergo 4-in-1 to do this transition (or so I hoped). However, the "hard surface reducer" strip does not seem to work for this transition. The difference in height between the Pergo and the linoleum is not very big. The reason for this is that it appears that a second sheet of plywood has been laid on top of the subfloor in the kitchen. This has raised the height of the kitchen by about 1/4-1/8" (I haven't taken a measurement yet).

The hard surface reducer will not work here, because it does not fit flat. It seems to require that the hard floor is lower than the Pergo. Installing the strip as a T-Molding instead also does not work. The linoleum IS in fact slightly lower than the Pergo, so it leaves a very noticable gap. So, the hard surface reducer is too tall, the T-Molding is too small.

What do I do in this situation?

Thanks for your help,
-Matt

Many of the people with whom I talk get quite creative in modifying transitional pieces. Sometimes they rip them to meet their needs and then finish the rough edges. Transitional pieces tend to be moulded to meet the 'typical' needs. Sometimes they fall outside the range of the typical and some modifications have to be met. You may have to cut back the reducer and finish the edge to accommodate your situation.

sounds to me like you need to use the T molding part of the 4 in 1.

sounds to me like you need to use the T molding part of the 4 in 1.

I've put the T molding in. The only issue is that it leaves a small 3/16" gap between the T-molding and the linoleum. What would you recommend filling that with? Should I fill it with caulk or attempt to rip down a piece of the 4 in 1 and use liquid nails or something?

Thanks,
-Matt