Welcome to Just Answer and thanks for your question. "The German Colonists of St-Gilles, and their descendants in Lotbiniere" by Arthur Caux, M.D. (Saint Flavien) lists George Löder as being in the captain de Schoell's company of the Hanauer Jager. A Jager usually comprised about 30-40 men. He served as sergeant of the militia in St. Gilles, and died there in December 1795. His wife was Eva Sabina (or Larina although Lorina is not a likely German name) Munger or Manger(German feminine ending of Larina/Munger is Mungerin). Another possibility for the name is Münger/Muenger or Muenker. Children were Jean-Philippe (baptized 1786) and Pierre (born 08 Sep 1789 at Saint-Gilles, Lotbiniere, Quebec). Georg and his brother Jean came to Canada together.
I have seen postings online that referred to two wives, the first being named Epha or Effa Sabina. "Epha" and "Effa" seem like someone's phonetic spelling of the given name Eva. Sabina is not a surname.
Colonel Rall (Rahl) was mortally wounded in the Battle of Trenton when his troops were routed on December 26, 1776. He died the following day. His ship had arrived in mid-August 1776, so that is when George must have come (i.e. 1776 instead of 1777). Rall was at the Battles of Long Island on 27 Aug 1776 (just two weeks after the Hessian troops had landed), the Battle of Brooklyn (also known as Flatbush or White Plains) on 28 October 1776 and the Battle of Trenton that started on Christmas Day 1776. The Hanau Jägers were at the Battle of Trenton so your George may have been there as well.
Hessian soldiers are very difficult to trace since little was written about them unless they were fairly high-ranking officers. I found nothing on George's brother Jean, other than that they arrived together on the troop ship, so presumably he was also a soldier.
I found no information on George's marriage.