Step 1: Understanding the Concept:
Bond energy depends on the effectiveness of orbital overlap and the presence of destabilizing factors like lone-pair repulsions.
Step 2: Detailed Explanation:
$\bullet$ C=S vs C=Te: Carbon is in period 2. Sulfur is period 3, while Tellurium is period 5. The overlap between $2p$ (Carbon) and $3p$ (Sulfur) is much more effective than between $2p$ and the large, diffuse $5p$ (Tellurium). Smaller atoms and better size matching lead to stronger bonds. Thus, C=S $>$ C=Te.
$\bullet$ Cl–Cl vs F–F: This is a famous exception. Usually, bond energy increases as atoms get smaller. However, Fluorine is so small that the lone-pair-lone-pair repulsions on the two F atoms are extremely intense, weakening the bond significantly. Chlorine, being larger, minimizes these repulsions. Thus, Cl–Cl $>$ F–F.
Step 3: Final Answer:
The orders are C=S $>$ C=Te and Cl–Cl $>$ F–F.
This corresponds to option (A).