。
Please mix three eggs and one cup of sugar.
Literal
Egg 3-[counter] [and-と] 1 cup [possessive-の] sugar [object-を] mix-please.
Note the uneven particle usage: 卵３個 has no particle between 卵 and 個 (floating counter on a noun), but the whole noun phrase is then linked by と to 砂糖. In a recipe, quantities typically float bare like this. カップ is a katakana loanword used as a measurement unit.