  Two Li-rich candidates, TYC 1338-1410-1 and TYC 2825-596-1, were observed
with the new high-resolution echelle spectrograph, LAMOST/HRS. Based on the
high-resolution and high-signal-to-noise ratio (SNR) spectra, we derived
stellar parameters and abundances of 14 important elements for the two
candidates. The stellar parameters and lithium abundances indicate that they
are Li-rich K-type giants, and they have A(Li)$_\mathrm{NLTE}$ of 1.77 and 2.91
dex, respectively. Our analysis suggests that TYC 1338-1410-1 is likely a red
giant branch (RGB) star at the bump stage, while TYC 2825-596-1 is most likely
a core helium-burning red clump (RC) star. The line profiles of both spectra
indicate that the two Li-rich giants are slow rotators and do not show infrared
(IR) excess. We conclude that engulfment is not the lithium enrichment
mechanism for either star. The enriched lithium of TYC 1338-1410-1 could be
created via Cameron-Fowler mechanism, while the lithium excess in TYC
2825-596-1 could be associated with either non-canonical mixing processes or
He-flash.
