[Solved]-Downshift: The menu should close until results not found-Reactjs

#1, To prevent opening if there is no input value:

<input {
  ...getInputProps({
    ...inputProps,
    onKeyDown: e => {
      if(!value) {
        return e.nativeEvent.preventDownshiftDefault = true 
      }
    }
  })
} />

#2 Can be tricky, because if you want to modify the state, the filter will be activated. I would suggest some layout over their input, what displays the inputItems[highlightedIndex] if the highlightedIndex > -1

  const completeValue =
    highlightedIndex > -1 ? inputItems[highlightedIndex].name : null;

 return (
   <div className="app">
     ...
{
  completeValue
  ? <input {...getInputProps(inputProps)} value={completeValue} />
    : (
      <input
        {...getInputProps({
          ...inputProps,
          onKeyDown: e => {
            if (!value) {
              return (e.nativeEvent.preventDownshiftDefault = true);
            }
          }
        })}
      />
    )
}
     ...
   </div>
 )

#3, To close the recommendations box:

  const {
    isOpen,
    getComboboxProps,
    getInputProps,
    getMenuProps,
    getItemProps,
    highlightedIndex,
    closeMenu, // <= use this inbuilt functionality
    selectItem
  } = useCombobox({

And at the button click just call it by manually:

    <button
      className="btn btn-clear"
      onClick={() => {
        selectItem(null);
        setValue("");
        closeMenu();
      }}
    >
      Clear
    </button>