It's not a pattern, but feather color. It can present in any pattern. Here's one of my blue laced red Wyandottes with mahoghany. It's a very deep red color, what RIRs are supposed to be.
I can't really say yes on that, since mahogany is a red enhancer, and I don't know much about red Cochins. If they specify that the color is mahogany rather than red, I would say yes, they're probably a deeper color than red Cochins. Typically, red by itself is kind of a rusty, orangy red, where mahogany is a deep brownish red.
OK, now I'm confused on this. There must be a difference between the color of mahogany and the pattern called mahogany. Why you ask?
RIR is a different pattern than the Faverolles but both are called mahogany's. Confusing isn't it?
I ask because the Ideal OE have the color of Mahagony and I wonder (picture is unclear) if the are like RIR or the Faverolles. I would want the Faverolle pattern but not the RIR pattern--not that it isn't pretty, just not what I want.
The Favorells PATTERN is what is considered "wild type" or "black breasted red". What would be mahogany on them would be the red areas of the pattern, not the whole pattern itself. Mahogany coloring on a bird will be in areas of the pattern that are normally red. Black and white will not be affected. There is no such pattern called "mahogany".