You are iterating over the checked array items using forEach which won't induce any results since the forEach method
executes a provided function once for each array element.
which won't result in a transformed array.
What you are looking for is the map method which
creates a new array populated with the results of calling a provided function on every element in the calling array.
hence returning your transformed items so that they can be rendered (transformed at compilation time to ReactElement using the JSX syntax).
Note that you need to use an HTML tag instead of a React.Fragment the empty tag <> syntax:
const checked = [{
food:['apple', 'banana'], // there is a missing comma here
drink:['wine', 'beer']
}];
render ( // render and not rander
<div> // div instead of empty tag
{checked.map((item) => item.food.map((each) => <div>{each}</div>))}
</div>
)
.map()method needs to return JSX/an array that you want each element to transform into