Lorca calls Discovery to beam himself and Ash off the stolen Klingon shuttle. At this time, Lorca is sitting down as is Ash. When they both arrive in the Discovery's transporter room, Ash falls to the floor (expected because of his weakened condition), yet Lorca is standing up. Somehow, the transporter was able to rearrange his body from sitting into a standing position without any effort on his part.
Admiral Cornwell is somehow able to appraise Saru of the exact events of Lorca's capture (pilot killed, Lorca taken aboard) even though the shuttle was taken by the Klingons and therefore any logs or recordings, if it had any, would not be accessible to Starfleet. All Starfleet should know is that the shuttle is missing.