Adding fruits to a basket, allowing selection from ID and name
Creating a mapping from input to output can be very useful here. A dictionary is the ideal data structure for this

VALID_INPUTS = {
    '1': 'Apple',
    'apple': 'Apple',
    '2': 'Orange',
    'orange': 'Orange',
    '3': 'Kiwi',
    'kiwi': 'Kiwi',
}
EXIT_INPUTS = ['4', 'exit']


Then you can loop over this mapping and append the matching inputs

if my_fruits in EXIT_INPUTS:
    break
for valid_input, fruit in VALID_INPUTS.items():
    if valid_input in my_fruits:
         fruits_ls.append(fruit)