The Rays came into the interleague series with a 1-8 mark against Cincinnati. They've taken the first two games with shutdown pitching and just enough offense.
Cobb (1-1) pitched seven shutout inning against Texas on Sunday but got a no-decision. He kept the scoreless streak going Saturday, limiting Cincinnati's struggling lineup to four hits without walking a batter.
Loney led off the second inning with his first homer against Alfredo Simon (1-1), who matched his career high with eight innings and allowed only five hits.
Cincinnati stranded a pair at third base and had runners thrown out at third and home, extending its run of wasteful offense. The Reds have lost all four of their series this season, falling to 3-8 for the first time since 1995, when they won the NL Central.
The Rays opened the series with a 2-1 win Friday night, when David Price took a shutout into the ninth before Joey Votto homered with one out. Rays starters have thrown at least seven shutout innings four times in the last six games.
It was Tampa Bay's second shutout of the season, and the second time the Reds have been shut out. The Reds also were blanked 1-0 by the Cardinals on opening day.
Both managers changed their lineups, looking for some runs.
The Rays have scored only nine in their last six games, but managed to win three of them because of the impressive pitching. The Reds have scored 28 runs all season, second-fewest in the National League.
Rays manager Joe Maddon stocked his lineup with left-handers against Simon. Reds manager Bryan Price moved Votto from third to second in the batting order, the first time he'd batted second since 2008.
Neither move made much of a difference. Nice defense by both teams also kept it close.
Votto led off the fourth with a ground-rule double. Kevin Kiermaier threw out Votto at the plate as he tried to score on Brandon Phillips' single to center. Phillips went to second on the play and was thrown out trying to steal third.