Hello: If the connections are made with flex connectors I’ve found that their rubber washers shrink with time and heat. Tightening when the heater is about six months old seems to work well to prevent future leaks. If you are finding water at both hot and cold connections, but with no exidence of a leak from the pipe, there is a good possibility your tank is leaking.
To check a tank for leaks, one must check every threaded fitting. If none are leaking and no water is falling onto the tank from above, it must be a leaking tank :?. Time to start shopping.