Preheat the oven to 325°F. Brush a 9-by-13-inch metal pan with 1 tablespoon melted butter.

Whisk the eggs, milk, salt, and pepper. Pour into the pan and bake for 18–22 minutes, until just set.

Split the muffins, brush with the remaining butter, and toast cut-side up for 6–8 minutes.

Heat the sausage patties according to the package directions, then drain them on paper towels.

Cool all components completely. Cut the baked eggs into eight portions.

Layer each muffin with egg, sausage, and cheese. Add the muffin top.

Wrap each sandwich in parchment and foil. Freeze for up to 2 months.

To reheat from frozen, remove all wrappers, wrap in a paper towel, and microwave at 50% power for 90 seconds. Flip and microwave at full power for 60–90 seconds, until the center reaches 165°F.