Write a Python function `sort_sublists` that takes a list of lists of strings as input and returns a new list where each sublist is sorted in ascending order.
#### Example Usage
```python [main.nopy]
print(sort_sublists([['green', 'orange'], ['black', 'white'], ['white', 'black', 'orange']]))
# Output: [['green', 'orange'], ['black', 'white'], ['black', 'orange', 'white']]
print(sort_sublists([['a', 'b'], ['d', 'c'], ['g', 'h'], ['f', 'e']]))
# Output: [['a', 'b'], ['c', 'd'], ['g', 'h'], ['e', 'f']]
```