Assume this is a situation that has happened so as to diagnose / correlate the sail shape to what occurred.......and that the battens have since been inserted into the batten pockets the right way.............
For both sails the impact of back to front batten insertion would be that the sail shape entry off the luff at the battens would be noticeably flatter, and the sail shape exit off the leech would be noticeably fuller and the leech would hook back to windward a tad more than designed. This is at the battens themselves.
For the sails well away from the battens - that is mid-way between the battens - the luff curve cut into the sail, and the broad seam tapers off the luff and leech at each seam, would do their best to maintain their designed in / cut in proper shapes.
The batten max bend along their chord should be around 33-45% aft of their front end - check this by compressing the battens when they are out of the sail and checking their bend.
Of course this % depends on the wind range the sail is designed for and if it is a genoa or jib or main. There are 1000s of articles on line........
www.sailingbreezes.com/Sailing_Breezes_Current/Articles/Feb09/Guidelines_for_Good_Mainsail_Shape.htm