OK so lets clarify.
Your question did not mention any specific product. Your question was specifically about the Vegan designation on any products.
If a store bought product includes pureed fruit and/or vegetables that would be fine because if there were any bugs they would be pureed and no longer a problem.
If you bought fruit or vegetables and see bugs you are not permitted to puree them any longer and must be cleaned to eat them.
If the store bought product has pieces (not pureed) of fruit or vegetables that normally require checking for bugs then you would not be permitted to eat this product because it may contain bugs.
For more on this topic see Trader joe cauliflower gnocchi