This paper investigates the constraints on the Lorentz symmetry-breaking parameter \( l \) in Kalb-Ramond (KR) gravity by analyzing timelike and lightlike geodesics around a black hole. The authors use the precession of the S2 star orbiting Sgr A* and geodesic precession around Earth to constrain \( l \). The ratio of precession frequencies for General Relativity (GR) and KR gravity is computed, yielding a parameter range for \( l \) from Event Horizon Telescope (EHT) results: \(-0.185022 \leq l \leq 0.060938\). Using the geodesic precession frequency from Gravity Probe B (GP-B), the parameter \( l \) is further constrained to \(-6.30714 \times 10^{-12} \leq l \leq 3.90708 \times 10^{-12}\), which aligns with Schwarzschild limits. The innermost stable circular orbit (ISCO) and innermost circular orbit (ICO) are determined and analyzed for timelike geodesics, and the zoom-whirl obstructions are compared with the Schwarzschild solution. For lightlike geodesics, the lower and upper limits of the photon sphere are established to demonstrate the influence of KR gravity on the photon sphere. The shadow radius is determined for two observers to constrain \( l \), with comparisons made to EHT results. The bounds for \( l \) derived from the photon sphere radius yield \(-0.0700225 \leq l \leq 0.189785\) using EHT data. The findings align with experimental results in the \( l \to 0 \) limit.This paper investigates the constraints on the Lorentz symmetry-breaking parameter \( l \) in Kalb-Ramond (KR) gravity by analyzing timelike and lightlike geodesics around a black hole. The authors use the precession of the S2 star orbiting Sgr A* and geodesic precession around Earth to constrain \( l \). The ratio of precession frequencies for General Relativity (GR) and KR gravity is computed, yielding a parameter range for \( l \) from Event Horizon Telescope (EHT) results: \(-0.185022 \leq l \leq 0.060938\). Using the geodesic precession frequency from Gravity Probe B (GP-B), the parameter \( l \) is further constrained to \(-6.30714 \times 10^{-12} \leq l \leq 3.90708 \times 10^{-12}\), which aligns with Schwarzschild limits. The innermost stable circular orbit (ISCO) and innermost circular orbit (ICO) are determined and analyzed for timelike geodesics, and the zoom-whirl obstructions are compared with the Schwarzschild solution. For lightlike geodesics, the lower and upper limits of the photon sphere are established to demonstrate the influence of KR gravity on the photon sphere. The shadow radius is determined for two observers to constrain \( l \), with comparisons made to EHT results. The bounds for \( l \) derived from the photon sphere radius yield \(-0.0700225 \leq l \leq 0.189785\) using EHT data. The findings align with experimental results in the \( l \to 0 \) limit.