This is a variation of the classic push off second deal where the thumb works from the top edge of the package rather than the long side edge of the deck.
The Movie Second Deal is really more a flourish than a second deal. It is a one-handed second where you pull out the second card and place it on top with the thumb.
The double deal is taking the top and bottom card at the same time. The open double deal is an idea by Marlo which eliminates the card alignment issue.
Once you have a break you want to handle and display the deck such that it appears to be impossible to hold a break. Here is one sequence of bends and riffles developed by Ed Marlo and published in his CardControl Series from the 1950s.
A jogged card can be seen by a spectator if the pack is placed on the table. Allan teaches you how to use a dribble to disguise the jog, but at the same time allows you to maintain the jogged card.