You can trade from HG/SS to D/P/PL with the Pal Pad but you cannot trade the pokéballs as the Pokemon can't hold it.
>While Apricorns and the Poké Balls that are made from them can be held by a Pokémon in Generation II, this is not allowed in the Generation IV remakes, as these items are not programmed into the other games of that generation.
-Bulbapedia
So, you cannot trade them into the Sinnoh games. If you trade a pokémon in a HG/SS pokeball, it will be a plain regular one when it goes to Sinnoh. I'm not sure if you can even trade Pokemon now, I think they shut off the wi-fi, but not completely sure about that.