A lubricant composition for a transmission fluid comprising: a). a base oil; b). 2,5-dimercapto-1,3,4-thiadiazole (DMTD), a derivative of DMTD, or mixtures thereof, wherein the derivative of DMTD is selected from 2-hydrocarbyldithio-5-mercapto-1,3,4-thiadiazole, 2,5-bis-(hydrocarbyldithio)-1,3,4-thiadiazole and mixtures thereof; a carboxylic ester of DMTD; a condensation product of an α-halogenated aliphatic monocarboxylic acid with DMTD; a reaction product of an unsaturated cyclic hydrocarbon and an unsaturated ketone with DMTD; a reaction product of an aldehyde and a diaryl amine with DMTD; an amine salt of DMTD; a dithiocarbamate of DMTD; a reaction product of an aldehyde, and an alcohol or aromatic hydroxy compound, and DMTD; a reaction product of an aldehyde, a mercaptan and DMTD; 2-hydrocarbylthio-5-mercapto-1,3,4-thiadiazole; and products from combining an oil soluble dispersant with DMTD; and mixtures thereof; c). a friction modifier made by: i). reacting an olefin, wherein at least 40 % by weight of the olefin is a C 12 -C 36 vinylidene olefin that was reacted under an acid-catalysis condition to convert the C 12 -C 36 vinylidene olefin to a tri-substituted internal olefin, with maleic acid, anhydride, or ester to provide a first reaction product; and ii). aminating the reaction product with an effective amount of a compound containing basic nitrogen to provide the friction modifier, wherein the C 12 -C 36 vinylidene olefin is represented by the following formula: wherein R c and R d are independently a C 3 -C 15 alkyl, cycloalkyl or cycloalkenyl, wherein the friction modifier (c) provides from 50 to 800 ppm by weight of nitrogen to the lubricant composition based on a total weight of the lubricant composition, wherein said DMTD or DMTD derivative, or mixture thereof provides from 100 to 2000 ppm by weight of sulfur to the lubricant composition based on a total weight of the lubricant composition and wherein a weight ratio of nitrogen contributed by the friction modifier (c), to the sulfur contributed by said DMTD or DMTD derivative, or mixtures thereof (b), ranges from 0.25:1 to 1.25:1. a). a base oil; b). 2,5-dimercapto-1,3,4-thiadiazole (DMTD), a derivative of DMTD, or mixtures thereof, wherein the derivative of DMTD is selected from 2-hydrocarbyldithio-5-mercapto-1,3,4-thiadiazole, 2,5-bis-(hydrocarbyldithio)-1,3,4-thiadiazole and mixtures thereof; a carboxylic ester of DMTD; a condensation product of an α-halogenated aliphatic monocarboxylic acid with DMTD; a reaction product of an unsaturated cyclic hydrocarbon and an unsaturated ketone with DMTD; a reaction product of an aldehyde and a diaryl amine with DMTD; an amine salt of DMTD; a dithiocarbamate of DMTD; a reaction product of an aldehyde, and an alcohol or aromatic hydroxy compound, and DMTD; a reaction product of an aldehyde, a mercaptan and DMTD; 2-hydrocarbylthio-5-mercapto-1,3,4-thiadiazole; and products from combining an oil soluble dispersant with DMTD; and mixtures thereof; c). a friction modifier made by: i). reacting an olefin, wherein at least 40 % by weight of the olefin is a C 12 -C 36 vinylidene olefin that was reacted under an acid-catalysis condition to convert the C 12 -C 36 vinylidene olefin to a tri-substituted internal olefin, with maleic acid, anhydride, or ester to provide a first reaction product; and ii). aminating the reaction product with an effective amount of a compound containing basic nitrogen to provide the friction modifier, i). reacting an olefin, wherein at least 40 % by weight of the olefin is a C 12 -C 36 vinylidene olefin that was reacted under an acid-catalysis condition to convert the C 12 -C 36 vinylidene olefin to a tri-substituted internal olefin, with maleic acid, anhydride, or ester to provide a first reaction product; and ii). aminating the reaction product with an effective amount of a compound containing basic nitrogen to provide the friction modifier,