Had a flat battery, tried to push start for a while but did not start.replaced battery, now fuel seems to leak from air filter body when try to start, still no go. is this flooded and how to unflood?

Based on the information you have provided, there are a few possible causes for the issues with your 2011 Arctic Cat 550 EFI. Here are some suggestions for troubleshooting:

Check the fuel injectors: If the fuel injectors are clogged or dirty, it can cause issues with starting and idling. You may need to clean or replace the fuel injectors.

Check the fuel pressure regulator: If the fuel pressure regulator is not functioning properly, it can cause issues with fuel delivery to the engine. You may need to replace the fuel pressure regulator.

Check the air intake and filter: If the air intake or filter is dirty or clogged, it can cause issues with fuel delivery and combustion. You may need to clean or replace the air filter.

Check the throttle body: If the throttle body is dirty or clogged, it can cause issues with fuel delivery and combustion. You may need to clean the throttle body.

Check the ignition system: If the ignition system is faulty, it can cause issues with starting and idling. You may need to replace the spark plugs or coil.

Check the battery: If the battery is weak or not providing sufficient power, it can cause issues with starting and idling. You may need to replace the battery.

It's important to note that these are just suggestions based on the information you have provided..

Any codes?fuel filter,air filter,tune up,crankshaft sensor,clean throttle body.

IT will never go unless you bled the air out of the system. Find all the bleed screws and pump fuel out until you get solid fuel. Crack the injector line nuts and crank over until there is fuel drops appearing at each nut . retighten the nuts and then there is every possibility that the engine will start
AS an off side ---Diesels are compression ignition engines and that means that they compress the air to white hot and the fuel is then introduced into this air and ignites IF you spray anything into the air intake then this will ignite prematurely and blow the pistons back out of the sump.
Check that the electric stop solenoid is operational and diesels have to have a fast cranking speed so half flat batteries are a waste of time

Start by replaceing the fuel filter.

Something is probably leaning out the mixture when you open the throttle. It seems that any ignition issues have been ruled out.

So, check the following: fuel filter clogged, low fuel pump pressure, the fuel pressure regulator could be stuck at the idle setting, the EGR valve could be stuck open, faulty throttle position sensor (TPS) or circuit, faulty manifold absolute pressure (MAP) sensor, faulty or dirty manifold air flow (MAF) sensor, faulty intake air temperature (IAT) sensor, and an air leak into the intake duct or manifold between the MAF and the throttle body. I think if the intake manifold gasket had a leak, it would be misfiring at idle.

Ask the shop if any of the above checks have already been accomplished. I'll bet most of them have, but one may have been overlooked.

Replace the fuel filter as a first step, but also check for a faulty fuel regulator. Find the fuel regulator near the throttle body in the fuel line and pull off the rubber hose and see if there are any traces of fuel dripping out of the rubber hose. The hose is for air only and fuel in that hose indicates the fuel regulator requires replacement. Also check for vacuum leaks in the hoses from the motor's intake to the crankcase where the PCV valve is located. Relatively small holes in that area will cause poor acceleration and a lean condition in the motor and loss of power or hesitation. Also check the plastic air tubes going from the air filter box to the throttle body area to make sure everything is tight and there are no holes. Holes or leaks there will cause hard starts and poor driveability.

if it is carburated it sounds like bad accelerator pump in carb, or plugged fuel filter. if you haven't changed the fuel filter recently i'd start with that.if that was done than you may have a bad carb accelerator pump. needs rebuild or replaced.

replace throttle body injector

Check for spark
If yes, it is getting FIRE, just needs AIR and FUEL

Give it a 5-second shot or two of Starting Fluid (Ether) through the Air intake (filter) and try to start

Does it kick and run really fast and then stop?

If not, pull the plug, clean and check for GAP of 2-3 matchbook covers. Retry. Does it run (or try to)?

If it does, Now we have to look at Clogged air or fuel filter or water in line(s)

Remove air filter. Try ether again. If it starts and runs, replace or clean air filter. Done!

If not... Replace AIR filter and Drain fuel into metal or Glass jug, take off fuel filter, open and drain fuel bowl. Replace fuel filter, refill tank, prime, give it a shot of ether and try again. If it runs, Done!

If it still will not stay running, but you can coax it by giving it a blast every 5-10sec, it could be linkage, stuck choke, throttle plate or jets. Give carb a good cleaning, check throttle plate (in carb throat between it and Air Cleaner) and.check Choke. Try again.

If it still will not run, take to mower mechanic.

throttle body air intake mix is cracked i hope i said this right
right now my mind is waken up

this will be connected to the air filter and assembly take the whole assembly out and try and start vehicle
if vehicle runs you have a crack in throttle body air intake housing this will need to be replaced

cloged fuel filters there is usually 3 one in the engine compartment one on chassis and one in the gas tank called the sending unit this has a filter on it
the gas tank filter only needs to be replaced every 100 thousand miles

timing might be off
sparks not connected all the way or improperly wired
computer took a surge and now wont run replacement of computer is needed
vacume leak at master cylinder
capasitor ignition coil bad <<< spell check
alternators these days are mostly being remanufactured the only true brand new alternators are the ones that come from dealer
batterys are reman. too sometimes they have a dead cell in them
at one point in my life i had to go back 4 different times with alternator and battery for the same problem
this is a win loose win kind of senerio

from the sound of the vehicle only runs off a jump the alternator and or battery is bad

i hope this helped you in discovery of vehicle problems