Edit (following to your PM): just note that this verb is not transitive (following the pattern verb + object), but that it needs the preposition de to specify its object (like the English of).
I remember you can be constructed in French roughly similarly to: I remember myself of you (je me souviens de vous)
There is no explanation to it, it is just the way this verb works.
Don't forget that, when you ask a question in French, you are supposed to invert the verb and the subject. With a reflective verb, the reflective pronom is placed before the verb. Now, in spoken French, you may not follow this rule (but I would not suggest it to a learner, as it could sound as a mistake), and your question (vous souvenez-vous de nous ?) then becomes: vous vous souvenez de nous ?