Hello Evgenii,
This is not really an appropriate use of this forum, which is dedicated to helping with questions about how to run / use / interpret Q-Chem. Your request is something that should be emailed to the corresponding author on the paper in question.
For TR-XAS with EOM-CCSD, all you need to do is set EE_STATES, CVS_EE_STATES, and CC_TRANS_PROP in the input REM section. Refer to the Manual for detailed explanation of these REM keywords. This will compute oscillator strengths for transitions between all valence- and core-excited states that you have requested. If this doesn’t work, let us know.
There are a variety of x-ray spectroscopy methods implemented at the ADC, CC, TD-DFT, and DeltaSCF levels. It’s not clear what you mean the time-resolved part of TR-XAS. If it’s electron dynamics that you are interested in, you could use time-dependent Kohn-Sham (TDKS) calculations, also known as “real-time” TD-DFT.