The answer is $\boxed{\text{E}}$.
The sequence is generated by the following rule:
- Start with the numbers $4$ and $7$.
- Add $3$ to each number to get the next number in the sequence.
- If the sum is greater than $20$, subtract $14$ from it to get the next number in the sequence.
Therefore, the next two numbers in the sequence are $19$ and $14$.
Here is a table showing the first few numbers in the sequence:
Number | Rule | Result
——- | ——– | ——–
$4$ | Start with $4$ | $4$
$7$ | Add $3$ to $4$ | $7$
$10$ | Add $3$ to $7$ | $10$
$13$ | Add $3$ to $10$ | $13$
$20$ | Add $3$ to $13$ | $20$
$16$ | Subtract $14$ from $20$ | $16$
$19$ | Add $3$ to $16$ | $19$
$14$ | Subtract $14$ from $19$ | $14$
I hope this explanation is helpful!