Loses would, of course, be catastrophic.
The German expected to send 27 divisions (less their heavy equipment) by towed river barge (two barges per tug, with the rafts for the 4,000 horses being towed behind some of the barges (Yes, that was the ACTUAL plan. You couldn't make this stuff up!) and land four airborne divisions on the flanks of the landing zones. 160K troops & 20K sailors. At the time the landing was scheduled, the Germans were still 4,000 boat handlers short, even after pulling cadre from every combat ship in the Kreigsmarine.
A semi educated guess at results?
Difficulty 1: Only 20-30% of the paras would be fully trained (see Airborne Operations, A German Appraisal at the U.S. Army history site for the gritty details). Operational (not enemy action related)losses for the paras (including those who were not qualified and dropped without personal weapons) 35%
Difficulty 2: The barges (much less the RAFTS) were not seaworthy. Lack of skilled boat handlers. Operational losses (not enemy action related): 10% If a storm catches the invasion at sea during the THIRTY HOURS the passage will take, all bets are off. Think Pharaoh and the Reed Sea.
Difficulty 3: Plan is for the paras to arrive at the same time as the seaborne force. The seaborne force that has been at sea for 30 hours in the ENGLISH Channel. RAF would still be a force in being, even if it had been force north, out of range of the German bombing, meaning the Luftwaffe has, at best, air parity. Radar still works. Chance of the paras achieving surprise ZERO. Losses before reaching ground: 30% Think Sainte-Mère-Église writ large.
Difficulty 4: The barges will take 30 hours (minimum) to reach England. The entire Home Squadron can make it to the Thames from Scapa Flow before the first barge makes it to the beach. The RN will have a minimum of four battleships, 10 CA/CL and 40+ DD ready to surge south on a couple hours notice. There will also be around 40 RN subs on patrol, mainly U Class, but still ready for action. This force accounts for the ships sent out in response to that Germany diversions
Losses (best case): Luftwaffe outperforms USN at Midway and only one BB & a few cruisers make it to the invasion area in time. Only XVI Army 1st wave is caught in open water. 15% losses before the first German solder even sees the beach.
Middle (and most likely) case: Home Squadron arrive mostly intact but finds target rich environment with German invasion barges coming out of Brugges, Dunkirk, Calais, Boulogne bobbing like decoys on a pond and sets to work. XVI army obliterated, Minor losses inflicted on XI & VI by subs and patrol destroyers.
Worst Case: Home Squadron arrives and deploys into three battle groups, each centered on two BB/BC with five cruisers and a dozen or so destroyers each with several cruisers and destroyers out as scouts/pickets. RAF gains temporary air superiority allowing FAA torpedo planes and dive bombers access. Think Pharaoh's Army & the Red Sea.
Troops reaching beach
Best Case: Beachhead is established with overall depth of five miles. Holds for 60 days before being crushed when supplies run out. Three Heer soldiers in ten returns in German Dunkirk operation.10K KIA 60K PoW. Losses of sailors on small boats 5,000 KIA/PoW. Half of invasion flotilla get back to France before the RN can find it at sea
Middle Case. As above but supplies are gone in a month with 20% making it home 15K KIA 55K PoW. Half of small boat handlers lost/PoW
Worst case: 70K KIA (75% by drowning), 60K PoW, remaining 30K either never leave France or manage to get back to UK.
Direct results:
Generals von Rundstedt, Model, Busch arrested & probably executed; Generals von Manstein, Heitz, Strauss and others KIA/PoW. Significant damage to German tactical operations for rest of war.
Invasion of Greece delayed.
Crete does not fall. Loss of virtually entire paratroop force over the Channel or to English PoW camps eliminates desire to try another high risk landing.
Afrika Corps not dispatched in February 1941. Troops can not be spared. Units will be used to replace lost XVI Army.
Somewhat more cautious Heer invades USSR missing numerous very successful combat commanders.
Hitler wasn't going to be deposed. He held the security services in his hands.