Newcastle youngster LuaLua, the younger brother of former Magpies forward Lomana, has moved to the Keepmoat Stadium on a one-month loan deal.
The teenage striker, who has made four appearances for Newcastle this season, has been brought in as a direct replacement for Jason Price, who has joined Millwall.
Woods joins Rovers from Manchester United until the end of the season after being released by Sir Alex Ferguson.
The 18-year-old goalkeeper joined the Red Devils from Cambridge in 2007 but has found first-team opportunities hard to come by at Old Trafford.
He did appear for United in a pre-season friendly against Aberdeen, but will now be hoping to oust veteran shot-stopper Neil Sullivan from Sean O'Driscoll's plans.