Not sure about non-template lipid synthesis but non-template polysaccharide synthesis may be referring to glycosylation and glycosyltransferases. That's my guess. There are tons of enzymes used for polysaccharide chains to attach to the proteins/lipids.
I'd guess that non template synthesis is biosynthesis of molecules without a template, such as cholesterol and lipid synthesis (terpenes), and gluconeogenesis for glucose. Maybe/probably?
question is a little confusing. The only template sythesis I can think of are for DNA synthesis, mRNA synthesis and protein synthesis. Hence non-template synthesis is everything else to include lipids and polysaccharides??
From what I can find, gluconeogenesis occurs partially in mitochondria, partly in the cytoplasm. Glycogenesis occurs in the cytoplasm. Other types of carbohydrates are made in the lumen of the smooth endoplasmic reticulum.