Step 1: Reading the question.
We need the names of plants that grow in shade and plants that grow in direct sunlight, in that order.
Step 2: Plants of shady places.
Plants that do well in low light and shade are called sciophytes. That is option B.
Step 3: Plants of direct sunlight.
Plants that need strong, direct sunlight to grow well are called heliophytes. That is option A.
Step 4: Checking the extra options.
Mesophytes (C) grow in normal moisture conditions and hydrophytes (D) grow in water. These are based on water, not on light intensity, so they do not fit here.
Step 5: Building the order.
Shade first then sunlight gives sciophytes then heliophytes, that is B and A.
Step 6: Conclusion.
Therefore the correct answer is "B and A". \[ \\boxed{\\text{B and A}} \]