Step 1: Understanding the Concept:
Crop varieties possess distinct homozygous/heterozygous and homogeneous/heterogeneous genetic structures.
Step 2: Detailed Explanation:
Matching varietal types in List I with genetic structures in List II:
1. Pure lines (A) $\to$ Progeny of a single homozygous self-pollinated plant, completely Homozygous and Homogeneous (IV).
2. Composites Synthetics (B) $\to$ Open-pollinated population derived from intermating inbred lines, Homozygous/Heterozygous and Heterogeneous (III).
3. $F_1$ Hybrids (C) $\to$ Progeny of cross between two distinct inbred lines, completely Heterozygous and Homogeneous (I).
4. Multilines (D) $\to$ Mixture of phenotypically similar Near Isogenic Lines (NILs) differing only in specific disease-resistance genes (II).
Step 3: Final Answer:
Matching summary: A $\to$ IV, B $\to$ III, C $\to$ I, D $\to$ II.