Generic drugs are required to do the same thing as their name-brand equivalents
When the Food and Drug Administration (FDA) approves your generic meds, it's specifically comparing them to the brand-name medications, which always come out first (more on that in a bit).
Therefore, it's unnecessary for you to repeat the comparison exercise in the pharmacy aisle. The FDA has already checked that the drug has the same active ingredient, the same strength, the same dose, and the same route of administration -- this is whether the drug is going in your mouth, being applied via skin patch, getting sprayed up your nose, etc. And no offense, but it's a bit more of an authority on this than you are.
The differences are mostly irrelevant
There are some aspects of a medication that are allowed to be different: the inactive ingredients, the name on the box, the style of the packaging, and the shape and color of the pill. In other words, the things that shouldn't affect how the drug works.