The invention provides novel conjugate compounds having at least one of a moiety derived from ursodeoxycholic acid, or eicosapentaenoic acid, or docosahexaenoic acid, or rhein, or -(+)-α-lipoic acid, or ursolic acid, or corosolic acid, or hydroxycitric acid, or cinnamic acid, or cholic acid, or oleanolic acid, or salicylic acid, or betulinic acid, or chlorogenic acid, or caffeic acid, or bassic acid, or acetyl L-carnitine, or S-allyl cysteine sulphoxide, or S-methyl cysteine sulfoxide, or pantothenic acid, or ascorbic acid, or retinoic acid, or nicotinic acid, or biotin, or a derivative or analog thereof, and a moiety derived from berberine or L-carnitine or metformin or unsaturated fatty acid, or a derivative or analog thereof. The invention also relates to pharmaceutical compositions, methods of preparation and use of these conjugates in treating and/or preventing, for example, liver diseases or disorders, various diabetes, diabetic complications, dyslipidemia, obesity, metabolic syndromes, pre-diabetes, muscle atrophy, inflammation, and cancers. The compounds of this invention are also useful in improving liver functions in chronic viral associated liver diseases and alcohol-related liver diseases.