Electricity flow IS current, same thing.
It can be complicated. Ben Franklin made a mistake in assigning charge polarity, he guessed wrong.
For long afterwards, scientists though charge was made of positive elements and current flowed from + to –, and a lot of our math is based on that.
Then the electron was discovered, with a negative charge, and it was found to be the main component of electric current. But it was too late to change our thinking, and texts, and formula, etc.
So engineers still consider current (electricity) to flow from + to –, but knowing that it actually is the opposite. But the math all works fine, so that's the way electronics works today.
To cover your error, this applies to both electric current, electric voltage, and "flow of electricity".