Vacuum lines, for sure. Your engine would very probably run better with these connected. Not sure where these particular lines connect.
Can you find a male end that those would slip over, anywhere near the reach of the lines? Just some thoughts: there is a vacuum tree (cluster of vacuum lines) on the passenger side rear of the engine; there is a vacuum reservoir ball below the air filter; there is a vacuum line that attaches to the hot water shut off valve on the passenger side of the engine (down low, about mid engine). And there is an EGR valve that has a vacuum line.
Do you have a sticker on the radiator support, inside the engine bay, that is a diagram of the vacuum system?
Good luck!