Chicago Cubs at Los Angeles Dodgers

The Dodgers again wore the satin 1944 night uniforms of the old Brooklyn Dodgers (and again in the afternoon), and this time the Cubs joined in on the fun, wearing their 1944 uniforms as well.

As Simply Moono writes in the comments:

The Cubs in their 1944 road greys with the red underline under a blue radially-arched "CHICAGO" wordmark. Royal Blue whole-socks with a "football-style" white oversock insert and three red
stripes.Royal Blue hat with a red wishbone "C".

Dodgers in their 1944 Brooklyn er-satin throwbacks. White raglan-stripes in the sleeves, white belt chambers and white tackle-twill numbers with a white "Brooklyn" script on the front of the jersey.
Powder-blue base jersey and pant with Dodger Blue stirrups/whole-socks mixture. Hat is Royal/Dodger Blue with a fancy "B".

Couldn't have said it better myself.

The following seven pictures are from VinScullyIsMyHomeBoy.com who sat near the Cubs bullpen. Apparently all the players (in the first five pics) were distracted, and you can see what they were looking at in the sixth picture. Read all about it here.

Atlanta Braves at Los Angeles Dodgers

In the first of five Dodgers' throwback games, the Dodgers wore the satin night uniforms of the 1944 Brooklyn Dodgers. Notice the "Red Sox" number of number #27 for the Dodgers. The Braves, with zipper fronts, were wearing uniforms and caps of the old Boston Braves. (although they didn't have throwback helmets)

Los Angeles Dodgers at Tampa Bay Devil Rays

The Dodgers dressed as the 1955 Champion Brooklyn Dodgers. According to Bill Henderson, the Dodgers:

"dressed in complete flannel uniforms by Ebbetts Field Flannels, however the last uniform to have the Brooklyn script on the front was in 1945. The team knew, but wanted the jerseys to celebrate Brooklyn anyway"

The Devil Rays dressed as the minor league St. Pete Saints from the same year. Henderson further notes that both teams wore flannel, and that:

"while MLB TBTC games have become popular and even rather common, on-field uniforms made of real flannel have become rather rare, as the teams opt for the old styles sewn in double-knit fabric."

San Diego Padres at Los Angeles Dodgers

According to Bill Henderson's style guide, this game was to commemorate Jackie Robinson, and it was played against the San Diego Padres, who wore current uniforms. However, according to this website:

BONUS: August 31, 2005 - Dodger Stadium. Derek Lowe gets the win in a complete game shutout allowing just 1 hit… in a Brooklyn Dodger uniform nonetheless… throwback unis only make the feel of the game a little retro and different.

Only problem is baseball-reference.com says that on 8/31/05 the Dodgers played a road game at Wrigley Field. Since this is a "home" looking white Brooklyn uniform, I'm going to go with Bill, although as he says, they only used "Brooklyn" on road grey jerseys, and only from 1939 to 1945, not during Robinson's career.