Final answer:
Streptococcus pyogenes and Neisseria gonorrhoeae should not be refrigerated after collection.
Step-by-step explanation:
The two organisms that should not be refrigerated after collection are Streptococcus pyogenes and Neisseria gonorrhoeae.
Refrigeration can affect the growth and survival of certain bacteria. Some bacteria, such as Streptococcus pyogenes and Neisseria gonorrhoeae, are more sensitive to low temperatures and can be harmed or killed by refrigeration. These bacteria should be kept at the appropriate temperature to maintain their viability for further testing or analysis.