THE ENGINE WAS OVERHAUL AFTER THAT IT FAILING TO START JUST CRANKING BUT PROMISING ,THE SPARK IS THERE WHY PUTTING MORE FUEL ON THE PLUGS

USA CAR,NOT tOLD yours.nor "e"code, series3 code.
e21 ,1975?
2.0L
320i. the "i' only means fuel injected 320d is diesel
what matters more 'e" code, e21 up.
No year told,
NO ENGINE told, nOR GAS OR DIESEL.?????? i= gas.
first we test fuel last , not pumps first (sorry but i cover that)

the engine must be good, no bad engine burns fuel and run.
next is (gas engine) spark must be good or if diesel glow plugs.working.
then comes fuel checks last. (all this is basic basics 101 stuff)
the PCm cuts fuel for many good reasons.
but we test fuel pressure cranking, on any dead engine using a tool called fuel gauge ( PSI or in Europe BAR/kPA)
CRANKING ONLY
IF THE FUEL PUMP RELAY IS DEAD, MOST TIMES THAT MEANS
THE PCM IS CUTTING FUEL ON PURPOSE.
TOP CASE PCM SEES SPARK DEAD AND MUST BY LAW CUT FUEL FAST.
if car has bad TPS sensor and it sends 5vdc to the PCM for throttle angle (100^%) or WOT false signal the PCM cuts fuel
or the PCM sees IMMO not happy it cuts fuel. or spark and on some cars even cuts cranking, on my car it cuts fuel after 3 second run
if IMMO KEY FAILS.

other simple tests, is Test fuel.spray
if engine good and spark good, test fuel works.
see? but no engine told
and spark plugs all tested for good spark..
on on all uSA cars here, 1996 up any OBD2 scantool works
so we scan it first. see why the PCM cut fuel???
as it can for many reasons,
on gasoline engine top causes are P03xx DTC errors
for sure CMP or CKP sensors failing it cuts fuel 1or2 ways.

NO CAR TOLD at all.
47 year span , sorry can not guess.

The year the first BMW 320i was manufactured was 1975
Max Nebular car.

fuel is cut to prevent CRASH and burn as seen on TV, endless.
by law and pure hard LOGIC. deep inside the PCM.
and more.

chk fuel pressure and fuel regulator or spark plugs worn

Check fuel pump pressure and volume. Check the throttle body idle circuit.

Did you visually check for spark at the spark plugs, engine cranking? Did you use a gage and check proper fuel pressure, engine cranking? Also, check for fuel injector pulse.
Are there any applicable trouble codes?
I can only help with testing. Knowing if your missing spark--fuel--whatever will help with diagnoses.

Sounds like its flooded,Remove and dry off plugs or let it sit until they dry themselves. As long as there is spark to plugs, it should start. Or replace the plugs and see if it starts.

could be a number of things ( bad coil, cap, rotor, timing belt, ignition module, wires, etc) you need to check for spark at the plugs and then work your way back til you find it, first, pull the cap off and out of the way, see if it turns when you crank, if not then it's the timing belt, else test for spark (also good idea to include year of car, how it died, etc)

Sounds like a immobilisor fault ,was battery left connected with the key in the ignition and the drivers door open??

have you changed the spark plugs or cleaned with heat i would change them with new if you can afford it and be 4 putting them in i would crank engine over a few times then take a comparison reading ..if u cant do a reading then i would put several drops of oil in each cylinder put new spark plugs in and try again O when cranking over hold gas pedal all the way down and yes temp sensor can fluid if bad

how many miles are on it try starting fluid in intake if it hits its fuel if not it is probally a timming belt