Identify the common names of the vitamins mentioned

• Thiamine is the chemical name of Vitamin $B_1$.
• Pyridoxine is the chemical name of Vitamin $B_6$.

Match with the given options

We need: $\text{Thiamine} = \text{Vitamin } B_1, \qquad \text{Pyridoxine} = \text{Vitamin } B_6$

Now check the options:

• A: Vitamin $B_2$ and Vitamin $E$ — incorrect
• B: Vitamin $E$ and Vitamin $B_2$ — incorrect
• C: Vitamin $B_6$ and Vitamin $B_2$ — incorrect
• D: Vitamin $B_1$ and Vitamin $B_6$ — correct

Final answer

The correct option is: $\boxed{\text{D}}$