Detector LHCb is one of the four main experiments at the Large Hadron Collider (CERN, Geneva). The main purpose of the LHCb experiment is study of hadrons which consist of b- and c-quarks. Many of the decays under study have photons and neutral pions in the final state. The knowledge of photon reconstruction efficiency in a wide range of photon kinematic is a crucial ingredient for such kind of measurements. The photon reconstruction efficiency is determined in data using comparison between $B^{+}\to J/\psi K^{+}$ and $B^{+}\to J/\psi K^{*+}(\to K^+\pi^0 )$ signal yields. These modes are chosen, since with large branching fractions in these channels a large number of signal events is expected. The muon trigger efficiency in the experiment exceeds 90%, therefore, the presence of $J/\psi$-mesons, decaying into two muons, provides high efficiency of registration of the selected decays of $B$-mesons. Since these decays have similar topology, the large cancellation of various systematic uncertainties, after imposing similar selection and trigger criteria is expected in ratio. The correction factor to $\pi^0$-meson reconstruction efficiency is obtained as the following: $$\eta^{\mathrm{corr} }_{\pi^0 } = \frac{N^{B^{+}\to J/\psi K^{*+}(\to K^+\pi^0 )}} {N^{B^{+}\to J/\psi K^{+}}} \times \frac {\varepsilon^{\mathrm{MC}}_{B^{+}\to J/\psi K^{+} }} {\varepsilon^{\mathrm{MC}}_{B^{+}\to J/\psi K^{*+}(\to K^+\pi^0 )}} \times \frac { B ( B^{+}\to J/\psi K^{+}) } { B ( B^{+}\to J/\psi K^{*+}(\to K^+\pi^0 ))}, (1)$$ where $N - $ is the event yield, $\varepsilon^{MC} -$ is the total efficiency, determined using simulation, and the ratio of branching fractions is known to be: \begin{equation*} \frac { B ( B^{+}\to J/\psi K^{+})} { {B} ( B^{+}\to J/\psi K^{*+}(\to K^+\pi^0 ))} = \bigg(\frac{1}{3} \times ( 1.39 \pm 0.09 ) \bigg)^{-1}. \end{equation*} Also the dependency of the correction factor on the transverse energy of photons and transverse momentum of $\pi^0$-meson is studied. Furthermore the search for $\Upsilon(nS)$-mesons decays in the final states containing $\Upsilon(1S)$ and light meson~($\eta, \eta\prime$) is presented. These final states are interesting because of the possibility of the observation of the exotic states $X_b(10610)$~and~$X_b(10650)$, particles containing $b\overline{b}$ pair and two light quarks.