What's involved in the reconstruction, and how are you trying to recharge the battery?
What works in a lot of cases is to rebalance the battery pack, where you discharge & recharge each of the 20 individual "sticks" of 6 cells. You can find more info here:
MIMA Pack Whack and rebalancing the battery - MIMA Honda Insight Modified Integrated Motor Assist Tour De Sol or InsightCentral used to be a good info source, before their redesign made the site intolerable for me.