In a handwritten manuscript that is titled סדר ברכות NY JTS 4657 whose place of publication is not identified and whose Nusach is not identified, I found an order of learning that is to be recited before ברכת המזון. It consists of excerpts from the תורה, from נביאים, from כתובים, from משנה and from גמרא. This order of learning reminded of the order of learning that we find in Nusach Roma after reciting the ברכות התורה except that in Nusach Roma, they include more types of learning. That said, the order of learning presented in סדר ברכות NY JTS 4657 is more interesting in that it seems to be following the rule of לעולם ישלש; we must divide our daily learning into three equal parts, in two ways; תורה, משנה, גמרא and תורה, נביאים ,בתובים. The manuscript also includes ברכת המזון. As far as I can determine, the Nusach of ברכת המזון found there follows the Sephardic custom. I am attaching extracts from the original which are slightly blurry so I am also attaching a printed version. The manuscript can be viewed here: סדר ברכות NY JTS 4657
