Richie Rees' late score could not save the Dragons from a 26-13 defeat, courtesy of tries from Scarlets' Gareth Owen and Kristian Phillips either side of half-time as well as 13 points from the boot of Rhys Priestland.
The result leaves the Dragons eighth in the GUINNESS PRO12 and, despite running Connacht and Ospreys close last month they have just one win from their five games so far this season.
The Dragons face Edinburgh next Saturday in what has become a key bottom of the table clash, and Jones demanded improvement.
"There is a lot of disappointment in the changing room," he said. "It was a poor, low-level game and neither side got anything going. Both teams made lots of errors and conceded lots of penalties.
"Our defence must be good because we spent a lot of time without the ball, but their tries came from our errors.
"Controlling the ball is a massive factor, we couldn't get a foothold in the game and didn't get in the right areas.
"We have a problem with our exit strategy and we just can't get out of our 22 at the moment.
"But the forwards and the scrum went well and we have to try and find the positives because we have to kick on and go for Edinburgh away.
"We've got to believe that we can go there and get the win, they are in the same boat as us and it will be tough, but we are up for the challenge."
Follow us on Facebook, join the conversation on Twitter, sign up to our YouTube channel for extensive match highlights and sign up for our newsletter for regular updates on the GUINNESS PRO12
The result leaves the Dragons eighth in the GUINNESS PRO12 and, despite running Connacht and Ospreys close last month they have just one win from their five games so far this season.
The Dragons face Edinburgh next Saturday in what has become a key bottom of the table clash, and Jones demanded improvement.
"There is a lot of disappointment in the changing room," he said. "It was a poor, low-level game and neither side got anything going. Both teams made lots of errors and conceded lots of penalties.
"Our defence must be good because we spent a lot of time without the ball, but their tries came from our errors.
"Controlling the ball is a massive factor, we couldn't get a foothold in the game and didn't get in the right areas.
"We have a problem with our exit strategy and we just can't get out of our 22 at the moment.
"But the forwards and the scrum went well and we have to try and find the positives because we have to kick on and go for Edinburgh away.
"We've got to believe that we can go there and get the win, they are in the same boat as us and it will be tough, but we are up for the challenge."
Follow us on Facebook, join the conversation on Twitter, sign up to our YouTube channel for extensive match highlights and sign up for our newsletter for regular updates on the GUINNESS PRO12
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