There is no stat.mineBlock.minecraft.lit_redstone_ore. Additionally, stat.mineBlock.minecraft.redstone_ore does not track this, so it becomes impossible to find out how many redstone ore blocks have been mined, as they instantly become lit when you hit them.
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I disagree with @unknown, because something not being listed on the wiki can still be a bug. I can confirm this.
That's because "lit_redstone_ore" isn't an accepted ID. You can check the wiki before reporting a missing ID: http://minecraft.gamepedia.com/Scoreboard#Objectives
@StevenNL2000, Lit redstone ore is a technical block, which is the reason why its not accepted. All technical blocks were removed in 1.7