Basic LIFO FIFO concept question understand, question, decrease, increase

Kiakaha

Hi,
I know this should be easy but I can’t figure out by myself.
Considering rising rates and rising inventory, the LIFO COGS is higher than FIFO. In that case, how does LIFO end up having higher cash flow? I understand that because COGS is higher, the income taxes are lower, but I can’t seem to figure out how the decrease in income tax (for LIFO) would offset the increase in COGS??
Thanks