This variant assumes pawn can move 2 squares forward without capturing while he is on second rank.
But f.i.d.e chess rules says:
"3.7
A)The pawn may move forward to the unoccupied square immediately in front of it on the same file, or
B)on its first move the pawn may move as in 3.7.a or alternatively it may advance two squares along the same file provided both squares are unoccupied, or"
http://www.fide.com/fide/handbook.html?id=124&view=article.
So this means the pieces would be able to move 2 squares foward on their first move, provided both squares are unoccupied.
Or, if you include the part "pawn may move as in 3.7.a or alternatively" on rule 3.7b, they would be able also to move one square foward in their first move if the square is unoccupied.