The Timing Optimized PID Silicon Detector for the EIC (TOPSiDE) is Argonne's proposed central detector concept for the Electron-Ion Collider, with its physics goals of perturbative and non-perturbative Quantum ChromoDynamics (QCD) studies of the structure of nucleons and nuclei. It requires high precision tracking, good vertex resolution, and excellent particle identification with a timing resolution of around 10 ps or better. TOPSiDE uses Ultra-Fast Silicon Detectors (UFSD) based on the Low-Gain Avalanche Detector (LGAD) technology. The LGADs are proven to provide timing resolutions of a few 10s of picoseconds. I will present the results of 35 $\mu$m and 50 $\mu$m thick DC-LGAD tests at Fermilab Test Beam Facility with 120 GeV proton beam. The best timing resolution of DC-LGADs in a test beam to date is achieved using three combined planes of 35 $\mu$m thick LGADs at -30 $^\circ$C with a precision of 14.3 $\pm$ 1.5 ps. The latest test measurements of AC-LGADs using single-channel and multichannel read-outs will also be presented.