The Second Circuit Court of Appeals—like every other federal circuit court—uses both the Federal Rules of Appellate Procedure (FRAP), as well as its own set of local rules (LR). The FRAP lays out general practice standards for all of the federal appellate courts, but also allows the circuits to compile their own rules that can expand, limit, or even contradict the FRAP. Accordingly, when you prepare a brief for filing in the Second Circuit Court of Appeals, you should reference both the FRAP and the local rules.
In the Second Circuit Court of Appeals, the local rules present some unusual requirements that might trip up an inexperienced filer. For example, FRAP 30(a)(1) describes the required documents for an appendix. But then take a look at LR 30.1(a), the clause at the end, wherein the Second Circuit Court of Appeals also requires that you include the notice of appeal or petition for review in your appendix—an important, additional requirement.
So, how should you present your appendix documents in the Second Circuit Court of Appeals? In most appellate courts you simply compile the documents in a separate volume bound in a white cover