Sure! Below is a test case generator for the given "Palindrome Generator" problem statement:

```python
import random

def generate_word():
    length = random.randint(1, 10)
    return ''.join(random.choice('abcdefghijklmnopqrstuvwxyz') for _ in range(length))

def tcgen():
    # Generating N and M
    N = random.randint(1, 100)
    M = random.randint(0, 1000)
    
    # Generating the list of words
    words = [generate_word() for _ in range(N)]
    
    # Generating pairs of words
    pairs = []
    for _ in range(M):
        X_j = random.randint(1, N)
        Y_j = random.randint(1, N)
        pairs.append((X_j, Y_j))
    
    # Formatting the output
    test_case = f"{N} {M}\n"
    test_case += '\n'.join(words) + '\n'
    test_case += '\n'.join(f"{x} {y}" for x, y in pairs)
    
    return test_case

# Example usage
print(tcgen())
```

This generator function will create a random test case for the "Palindrome Generator" problem. It does the following:

1. Randomly generates `N` (number of words) between 1 and 100.
2. Randomly generates `M` (number of ordered pairs) between 0 and 1000.
3. Creates `N` words, each with a random length between 1 and 10 characters, consisting of lowercase letters.
4. Generates `M` pairs of indices representing ordered pairs of words.

You can call the `tcgen` function to generate a new test case each time. The test case is formatted as specified in the problem statement and returned as a string.