You won't be filling that right to the brim, so assume 50USGal (90% full) is pretty much 190L.. If this is actually a 55ImperialGal barrel then 90% full is pretty much 250L
A cup is 250mL or 1/4L or ~7.5fluid Oz or 50tsp or 67ish tbsp
A tsp is 5mL or 1/200L or 1/50cups
A tbsp is 15mL or 1/67ishL or 1/17ish cups
A Litre is pretty dang close to 30 fluid Oz or 200tsp or 67tbsp..
Take recipe and scale it up without converting any units (eg 1tsp/USGal translates to 50tsp/barrel).. Once you have that kind of simple scale up use a single conversion to the units on your measuring device (eg 50tsp translates to 1cup or 250mL and that would do the barrel using the example target concentration)..
Doh, I missed your attachment..
In veg:
Boost - 3cups/barrel
Grow - 1.5cups/barrel
M/C - 1.5cups/barrel
SD - 2cups/barrel
If you notice, since you're dealing with ~50USGal, and there are 50tsp/cup, you want exactly as many cups/barrel as the recipe says in tsp/Gal..