  Searching for periodic non-accelerated signals in presence of ideal white
noise using the fully phase-coherent Fast Folding Algorithm (FFA) is
theoretically established as a more sensitive search method than the Fast
Fourier Transform (FFT) search with incoherent harmonic summing. In this paper,
we present a comparison of the performance of an FFA search implementation
using RIPTIDE and an FFT search implementation using PRESTO, over a range of
signal parameters with white noise and with real telescope noise from the GHRSS
survey with the uGMRT. We find that FFA search with appropriate de-reddening of
time series, performs better than FFT search with spectral whitening for long
period pulsars in real GHRSS noise conditions. We describe an FFA search
pipeline implemented for the GHRSS survey looking for pulsars over a period
range of 0.1 s to 100 s and up to dispersion measure of 500 pc cm$^{-3}$. We
processed GHRSS survey data covering $\sim$ 1500 degree$^2$ of the sky with
this pipeline. We re-detected 43 known pulsars with better signal-to-noise in
the FFA search than in the FFT search. We also report discovery of two new
pulsars including a long period pulsar having a short duty-cycle with this FFA
search pipeline. The population of long period pulsars with periods of several
seconds or higher can help to constrain the pulsar death-line.
