To cite ANCOMBC in publications use:

  Lin, H., & Peddada, S. D. (2020). Analysis of compositions of
  microbiomes with bias correction.  Nature communications, 11(1),
  1-11, https://doi.org/10.1038/s41467-020-17041-7

A BibTeX entry for LaTeX users is

  @Article{,
    title = {Analysis of compositions of microbiomes with bias correction},
    author = {Huang Lin and Shyamal Das Peddada},
    journal = {Nature communications},
    year = {2020},
    volume = {11},
    number = {1},
    pages = {1-11},
    url = {https://www.nature.com/articles/s41467-020-17041-7},
  }

  Lin, H., Eggesbo, M., & Peddada, S. D. (2022). Linear and nonlinear
  correlation estimators unveil undescribed taxa interactions in
  microbiome data.  Nature communications, 13(1), 1-16,
  https://doi.org/10.1038/s41467-022-32243-x

A BibTeX entry for LaTeX users is

  @Article{,
    title = {Linear and nonlinear correlation estimators unveil undescribed taxa interactions in microbiome data},
    author = {Huang Lin and Merete Eggesbo and Shyamal Das Peddada},
    journal = {Nature communications},
    year = {2022},
    volume = {13},
    number = {1},
    pages = {1-16},
    url = {https://www.nature.com/articles/s41467-022-32243-x},
  }