From FDA's guidance document for convenience kit,
"The labeling for these kits tends to be rather basic, identifying the assembler or manufacturer of the particular kit and the intended use(s). Additional processing typically involves affixing the label to the outside packaging of the kit and terminal sterilization of the kit and its components."
In convenience kits/tray, sterile components are packaged individually after sterilization (or packaged and then sterilized, if its Gamma sterilized) which are then assembled with non sterile components in kit. in such cases label of individual components generally indicates sterility status. We don't need to put sterile symbol on kit.
We can put sterility symbol or terminal sterilization process to kit if it is applicable to kit as a whole.