Only one of the 4 Passions doesn't include the Last Supper and the Institution of the Eucharist - that would be the Passion according to St. John. The other 3 Passions start with the Last Supper and the celebration of the Institution of the Holy Eucharist and then continue to the Agony in the Garden and the rest of the Passion and Death of Our Lord Jesus Christ. But St. John's doesn't include the Last Supper and the Celebration. It starts with the Agony in the Garden.
Why do I tell you this?
The Passion according to St. John is sung on Good Friday, the one day when there is no Consecration of the Holy Eucharist.
Coincidence? I think not.