Chapter 14: The Tragedy - S2-E6
Plot hole: Mando needs to make it to the top of the hill fast (he lost the ever important high ground, but he does not seem to mind). He would have a jetpack, but he left it behind. Now, everyone can be distracted and forget some piece of equipment and realise only a minute later (although it's a huge walk, and he has to climb, you'd think he'd remember right away). The problem is, even if Mando forgot the pack and realised only a minute later, the throwaway comedy intro of episode 2.2 showed that he can remote control the jetpack and call it back to himself.
Chapter 14: The Tragedy - S2-E6
Other mistake: Ahsoka tells Mando the name of a planet. Just the name and nothing else, we see him take off. It's a rather big planet as we can see from the atmosphere, and the Jedi temple is secret...yet Mando right away just finds "the big rock" in a planet with a complex sorta Earth-like geography.
Chapter 14: The Tragedy - S2-E6
Continuity mistake: Mando tells Baby Yoda "You understand, right?"; the knob in the hands of the child is rotated differently.
Chapter 15: The Believer - S2-E7
Continuity mistake: Mayfeld is called by the droid as he's working on the TIE carcass. He says "What!" and turns around; the hand on the drill he's using is in a different position between shots. He then holds the drill down his right side as the droid tells him to descend, and in the new shot he's still holding it up. (00:02:05)
Chapter 15: The Believer - S2-E7
Continuity mistake: Following Cara Dune through the scrapyard, Mayfeld removes his protective goggles and holds them in his right hand. Except at the cut he has them in his left hand. (00:03:10)
Chapter 15: The Believer - S2-E7
Other mistake: When Juggernauts 3 and 4 are destroyed, the screams of the drivers and the explosions are practically instantaneous, it takes 5 seconds tops. When Mando and Mayfeld's truck is assaulted, the marauders take a much longer time to deal their damage. (00:13:00)
Chapter 15: The Believer - S2-E7
Continuity mistake: Mando is facing the second wave of 'pirates'; he throws his malfunctioning blaster at one of them and then moves on to face him. You can see the alien just went past the second disk of junction between the cargo, but in the wider angle they are fighting with being already almost past the third. (00:15:25)
Chapter 15: The Believer - S2-E7
Continuity mistake: When Mando faces the third wave of marauders on top of the truck, he punches the first one in the gut after dodging his assault. He disarms the second one, then turn towards the first, that is already weaponless and reeling without having been hit (he was hit in the stomach as he was running past Mando, he wouldn't be facing him standing, some of the fight must have been cut). (00:16:30)
Chapter 15: The Believer - S2-E7
Revealing mistake: The first time we see Imperial troops saluting Bill Burr and Mando from their POV inside the truck, they are using their left arm. A couple cuts later we see that the shot was flipped, since everyone on the bridge, both sides of the truck, is saluting with their right hand. (00:19:00)
Chapter 15: The Believer - S2-E7
Continuity mistake: Cara and Fennec are scoping the anti-air cannons of the base. When Fennec says "Shouldn't be a problem" her left bang is gone from her face in a stark contrast with the previous shot. (00:24:45)
Chapter 15: The Believer - S2-E7
Continuity mistake: Valin Hess pours a drink to the two troopers. He asks "Where are you from, Brown Eyes" and screws the lid on; look at the quantity of liquid in the bottle. Next shot and it dropped significantly, to the point that barely any is visible anymore in the transparent section of the bottle. (00:25:15)
Chapter 15: The Believer - S2-E7
Continuity mistake: After shooting the officer with the odd southern accent, Mando and Mayfeld start shooting at the random innocent people. Mayfeld shoots two officers at a table, and you can tell that the second one was already up in the first shot, but in the second he gets blasted when he's still leaning on the table with his elbow. (00:27:50)
Chapter 15: The Believer - S2-E7
Continuity mistake: When Cara shoots down her first trooper ("Got 'em"), you can notice in her scope that the guy falls from the window adjacent to the one Bill Burr is in, but in the overhead shot Burr is still just barely coming out of it. (00:28:35)
Chapter 15: The Believer - S2-E7
Continuity mistake: Escaping from the mess hall windows, Mando shoots a trooper with a sand-colored uniform who was trying to hit him from a lying position. Next shot and Mando is standing, not crouching as he was to finish that enemy. (00:28:40)
Chapter 15: The Believer - S2-E7
Continuity mistake: When Fennec calls Boba on the radio ("We're on, start your run") her wisps of hair change position between shots. (00:28:45)
Chapter 15: The Believer - S2-E7
Other mistake: The two heroes run away from the cafeteria through the side of the building. The snipers are luckily positioned with a perfect view on their fortuitous escape route and start killing people. When Mayfeld reaches the top, we see one stormtrooper getting hit by the sniper - but the laser beam comes practically from behind him, at an angle that appears not compatible with Fennec's position. (00:29:20)
Chapter 15: The Believer - S2-E7
Other mistake: The final art of the credits shows Mayfeld jumping on the Slave-1 with Mando helping him. Mando is in his full Mandalorian armor though, which would have been impossible at that point of the story. (00:34:55)
Chapter 15: The Believer - S2-E7
Other mistake: Somehow during the episode Cara and Fennec, on foot, manage to get to the base at the same time as Mando, who is on a truck. Moreover, Cara is the one with Mando's armor in a sack, but when Mando emerges from Slave-1, he changed clothes, and he's back in full uniform.
Chapter 15: The Believer - S2-E7
Plot hole: The Imperial terminals have facial scan recognition...or just facial scan, really, since ANYONE regardless of being part of the army or not can just access any information of any level, as long as they have ANY face that the app can scan and identify as not being a known criminal.
Suggested correction: The facial scan prevents droids from stealing data from terminals.
And also criminals from doing that. It runs a check, as I said in the entry. Against "Any New Republic registry", even, which should disqualify also Mayfeld being a convicted felon, but that's another issue. Who designs a security system that does complex checks about who is a wanted criminal or part of 'the other side' but does not check if you are part of their side? Also, any low level trooper (or nobody, even the janitor) can just access any information of any level, including the location of their special forces cruiser.
Maybe it just checks if you're human. You never see non-humans as part of the empire. A lot of non-humans are as "subspecies" by the empire.
Chapter 15: The Believer - S2-E7
Other mistake: The first guy that tries to put a detonator on the rhydonium opens its container freely; the Empire is transporting its precious deadly explosive in unlocked containers! But later on Mando is struggling and the baddies have to use their pointed sticks to open the containers.