"To find favor" means to be approved by someone. The idiom "in his sight" refers to a person's opinion. Possible meanings are 1) Alternate translation: "Potiphar was pleased with Joseph" or 2) Alternate translation: "Yahweh was pleased with Joseph" (See: [[rc://en/ta/man/translate/figs-idiom]])
When something is "put under someone's care," it means that the person is responsible for its care and safe-keeping. Alternate translation: "he had Joseph care for" (See: [[rc://en/ta/man/translate/figs-metaphor]])