A method for improving fuel efficiency and engine wear protection in an engine lubricated with a lubricating oil by using as the lubricating oil a non-Newtonian engine oil lubricant composition, said lubricant composition comprising about 78.48 to 78.72 wt. % of a 3 cSt at 100° C. Group II base stock, about 1.08 wt. % of a 4 cSt at 100° C. Group IV base stock and about 5.4 wt. % of 4 cSt at 100° C. Group V base stock, about 0.12 wt. % of a styrene isoprene block type viscosity modifier, about 0.15 to 0.85 wt. % of a friction modifier selected from the group consisting of molyalkylthiocarbamide, ethoxylated fatty ester, and combinations thereof and about 13.83 to 14.09 wt. % of other engine oil additives, based on the total weight of the lubricant composition, wherein the non-Newtonian engine oil lubricant composition has a kinematic viscosity at 100 deg. C. of less than or equal to 4.66 cSt, an average High Frequency Reciprocating Rig (HFRR) wear scar of less than or equal to 165 μm and an HTHS (ASTM D4683) of less than or equal to 1.8 cP at 150° C.