Funds are money you have saved for specific purposes. So you might have funds for things like vacations, birthday spending or downpayment on a car.
Savings on the other hand is general purpose money that acts like a “cash cushion”. It’s money that has no specific purpose other than to be a buffer. It’s similar to an emergency fund. For those that actually have a fund that is meant for the purposes of being an emergency fund, you can think of your savings as your investable wealth, ie: money that has no other purpose other than to be a growing asset.