"The Giants showed a new wrinkle, with Pugh a few times moving over to the left side, lining up outside left tackle Will Beatty." “Something we put in this week and something we will see where it ends up,’’ Pugh said.
They using Pugh as a jumbo TE?
http://nypost.com/2014/09/22/giants-rewind-the-rookie-breathing-down-stevie-browns-neck/ 
This was an un-balanced line, where the TE lines up at tackle (as an ineligible receiver) and the tackle (in this case Pugh) lines up essentially as a TE outside the opposite tackle.
Not very common in the NFL but very typical formation in HS and college.
This was an un-balanced line, where the TE lines up at tackle (as an ineligible receiver) and the tackle (in this case Pugh) lines up essentially as a TE outside the opposite tackle.
Not very common in the NFL but very typical formation in HS and college.
The TE can line up next to the Guard but be uncovered (by a WR) so he would be ELIIBLE. Likewise, on the other side, the extra Tackle can be covered by the Split End, so he is ineligible. In this case, the Tackle (Pugh) wouldn't even need to report to the referee and the unbalanced line is more of a surprise to the defense.