BUG: groupby().groups with multiple group keys always treats sort as True

[mvashishtha]

Pandas version checks

• I have checked that this issue has not already been reported.

• I have confirmed this bug exists on the latest version of pandas.

• I have confirmed this bug exists on the main branch of pandas.

Reproducible Example

import pandas as pd

df = pd.DataFrame([[2, 1], [0, 3]])

print(df.groupby([0, 1], sort=False).groups)
print(df.groupby([0, 1], sort=True).groups)
# can see that order should be different for aggregations like sum()
print(df.groupby([0, 1], sort=False).sum())
print(df.groupby([0, 1], sort=True).sum())

Issue Description

groupby().groups with multiple group keys always treats sort as True

Expected Behavior

Per the documentation here, when sort=False,

the groups will appear in the same order as they did in the original DataFrame.

Installed Versions

INSTALLED VERSIONS

commit : a671b5a
python : 3.9.18.final.0
python-bits : 64
OS : Darwin
OS-release : 23.2.0
Version : Darwin Kernel Version 23.2.0: Wed Nov 15 21:55:06 PST 2023; root:xnu-10002.61.3~2/RELEASE_ARM64_T6020
machine : arm64
processor : arm
byteorder : little
LC_ALL : None
LANG : en_US.UTF-8
LOCALE : en_US.UTF-8

pandas : 2.1.4
numpy : 1.26.3
pytz : 2023.3.post1
dateutil : 2.8.2
setuptools : 68.2.2
pip : 23.3.1
Cython : None
pytest : None
hypothesis : None
sphinx : None
blosc : None
feather : None
xlsxwriter : None
lxml.etree : None
html5lib : None
pymysql : None
psycopg2 : None
jinja2 : None
IPython : 8.18.1
pandas_datareader : None
bs4 : None
bottleneck : None
dataframe-api-compat: None
fastparquet : None
fsspec : None
gcsfs : None
matplotlib : None
numba : None
numexpr : None
odfpy : None
openpyxl : None
pandas_gbq : None
pyarrow : None
pyreadstat : None
pyxlsb : None
s3fs : None
scipy : None
sqlalchemy : None
tables : None
tabulate : None
xarray : None
xlrd : None
zstandard : None
tzdata : 2023.4
qtpy : None
pyqt5 : None

[rhshadrach]

Thanks for the report. Closing as a duplicate of #56851.

[rhshadrach]

Actually - this is a bit different. Reopening.

[rhshadrach]

But this would also be closed by #55738! Tests need to be added to that PR.