Here's a quick attempt, and the first pass looks pretty good. All I did was to add the Classic ColorCorrection editor to one clip, set the other one as the reference clip, use the rectangle tool to select a similar area in both pictures which should have the same tone (in this case the section of wall just above the groom and the section of wall to the right of young lady in the other clip), and then used Histomatch. The result was good with color but a little dark, so I raised the gamma slightly. That was it. Obviously without actual clips it's hard to say if this works throughout, but I think it's going to be pretty close.
If you're not familiar with it, then I strongly suggest reading up on the ColorCorrection editor. It's one of the best tools in Liquid. If you need a more detailed explanation of what I did, let me know.