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doi:10.1038/nature20796 Experiments depicted in this study exclusively utilized wild-type C57Bl/6 mice. Colonized wild-type C57Bl/6 mice were obtained as littermates from a commercial source and acclimatized to the local vivarium for 2 weeks before the onset of each experiment. Mice for each experiment were purchased together and obtained through a single delivery. Before dietary interventions, mice were randomized to ensure that no incidental pre-diet differences in body weight, body fat content, or microbiome composition existed between the different groups (Supplementary Figure 1). Mice were initially exposed to HFD for 4 weeks (Fig. 3c, 5 weeks), followed by NC diet in the weight cycling group, until the weight of the NC control group was reached. Six independent repeats of this experimental scheme of the main phenotype appear in Fig. 1b, 1j, 1l, 5b, 6b, and Extended Data Fig. 10f. Three additional independent repetitions are provided in Supplementary Figure 2. Expectedly, the weight loss time period slightly differed between experiments, as did the time required to reach the HFD control weight after subsequent re-administration of HFD to the weight cycling group. Metabolic abnormalities induced by 4 weeks of high-fat feeding in this study were significant in comparison to normal chow controls, similarly to an 8 week HFD protocol (Supplementary Figure 3). The immunoblot source data for Fig. 6l is provided in Supplementary Figure 4. Information about bacterial species and their flavonoid-metabolizing genes is provided in Supplementary Table 1. The composition of the different rodent diets used in this study is provided in Supplementary Tables 2 and 3. Supplementary Table 4 shows the chromatographic conditions for apigenin and naringenin separation. WWW.NATURE.COM/NATURE 1

RESEARCH SUPPLEMENTARY INFORMATION Supplementary Figure 1 Metabolic and microbiota parameters before dietary intervention. a-c, Weights (a), body fat (b) and lean mass (c) before administration of diet. d, PCoA of fecal microbiota before administration of diet. e, f, PCA of KEGG genes (e) and gene modules (f) before administration of diet. 2 WWW.NATURE.COM/NATURE

RESEARCH Supplementary Figure 2 Enhanced secondary weight gain and incomplete microbiota recovery after dieting. a-c, Weight curves of weight cycling mice and controls. In (c), all groups were treated with celastrol during the weight loss period. d-i, PCoA plots of fecal microbiota from the indicated groups before the onset of the experiment (d, g), after 4 weeks of HFD (e, h), and upon weight normalization in the weight cycling group (f, i). WWW.NATURE.COM/NATURE 3

RESEARCH SUPPLEMENTARY INFORMATION Supplementary Figure 3 Comparison of different durations of HFD. Body weight (a) and body fat content (b) after 4 and 8 weeks of HFD feeding. Supplementary Figure 4 Immunoblot source data for Fig. 6l. The right four lanes are from antibiotics-treated mice, the left four lanes from controls. 4 WWW.NATURE.COM/NATURE

RESEARCH Supplementary Table 1 Flavonoid-metabolizing bacteria. The table lists bacterial species found in the metagenomic data set which encode for the indicated KEGG genes involved in flavonoid metabolism. Name Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis A76 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis A76 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis CV56 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis CV56 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis Il1403 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis Il1403 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis IO-1 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis IO-1 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis KF147 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis KF147 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis KLDS 4.0325 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis KLDS 4.0325 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis KW2 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis KW2 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis MG1363 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis MG1363 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis NZ9000 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis NZ9000 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis SK11 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis SK11 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis UC509.9 Bacilli Lactobacillales Streptococcaceae Lactococcus Lactococcus lactis UC509.9 Bacteroidia Bacteroidales Bacteroidaceae Bacteroides Bacteroides xylanisolvens XB1A Bacteroidia Bacteroidales Porphyromonadaceae Parabacteroides Parabacteroides distasonis ATCC 8503 KEGG Gene WWW.NATURE.COM/NATURE 5

RESEARCH SUPPLEMENTARY INFORMATION Supplementary Table 2 Normal chow diet (Teklad 2018). Macronutrients Fatty acids Protein 18.6 % C16:0 Palmitic 0.7 % Fat 6.2 % C18:0 Stearic 0.2 % Carbohydrate 44.2 % C18:1ω9 Oleic 1.2 % Crude Fiber 3.5 % C18:2ω6 Linoleic 3.1 % Neutral Detergent Fiber 14.7 % C18:3ω3 Linolenic 0.3 % Ash 5.3 % Total Saturated 0.9 % Calories from protein 24 % Total Monounsaturated 1.3 % Calories from fat 18 % Total Polyunsaturated 3.4 % Calories from Carbohydrate 58 % Cholesterol - Vitamins Calcium 1.0 % Vitamin A 15.0 IU/g Phosphorus 0.7 % Vitamin D3 1.5 IU/g Sodium 0.2 % Vitamin E 110 IU/g Potassium 0.6 % Vitamin K3 50 mg/kg Chloride 0.4 % Vitamin B1 17 mg/kg Magnesium 0.2 % Vitamin B2 15 mg/kg Zinc 70 % Niacin 70 mg/kg Manganese 100 mg/kg Vitamin B6 18 mg/kg Copper 15 mg/kg Pantothenic acid 33 mg/kg Iodine 6 mg/kg Vitamin B12 0.08 mg/kg Iron 200 mg/kg Biotin 0.4 mg/kg Selenium 0.23 mg/kg Folate 4 mg/kg Choline 1200 mg/kg Amino acids Aspartic Acid 1.4 % Valine 0.9 % Glutamic Acid 3.4 % Phenylalanine 1.0 % Alanine 1.1 % Tyrosine 0.6 % Glycine 0.8 % Methionine 0.4 % Threonine 0.7 % Cystine 0.3 % Proline 1.6 % Lysine 0.9 % Serine 1.1 % Histidine 0.4 % Leucine 1.8 % Arginine 1.0 % Isoleucine 0.8 % Tryptophan 0.2 % 6 WWW.NATURE.COM/NATURE

RESEARCH Supplementary Table 3 High-fat diet (Open Source Diets D12492). Nutrients g % kcal % Protein 26.2 20 Carbohydrate 26.3 20 Fat 34.9 60 Ingredients g kcal Ingredients g kcal Casein, 80 Mesh 200 800 Mineral Mix, S10026 10 0 L-Cystein 3 12 DiCalcium Phosphate 13 0 Maltodextrin 10 125 500 Calcium Carbonate 5.5 0 Sucrose 68.8 275.2 Potassium Citrate 16.5 0 Cellulose, BW200 50 0 Vitamin Mix, V10001 10 40 Soybean Oil 25 225 Choline Bitartrate 2 0 Lard 245 2205 FD&C Blue Dye #1 0.05 0 Total 773.85 4057 Supplementary Table 4 Chromatographic conditions for apigenin and naringenin separation. Composition A: 5 %ACN + 0.1% formic acid Composition B: 100% ACN + 0.1% formic acid Time % A % B 0 100 0 22 72 28 22.5 60 40 23 0 100 24.5 0 100 25 100 0 26 100 0 MS parameters, MRM transitions and retention times for apigenin and naringenin Analyte ESI Cone(V) Transitions Collision RT (min) Energy (ev) Naringenin + 35 273.1 > 150.0 20 19.39 273.1 > 147.0 24 Apigenin + 53 271.1 > 153.0 29 19.71 271.1 > 91.1 38 WWW.NATURE.COM/NATURE 7