Generally, the reason that shuffling your squad around or changing your targets works is because you change the sequence of draws from the random number generator so the results apply to different effects. The trick is to understand that the generator is going to give you the same draw sequence no matter what you do, and try to get the bad draws to apply to effects you don't necessarily care about.
The way to do this is to target an enemy with a different number of unique abilities, or use an attacker with a different set of buff/debuff possibilities or perhaps different crit chance percentage. Anything that changes up the sequence to RNG algorithm. There are many, many ways to affect this because there are a ton of background draws constantly occurring.
In your example:
RT opened with basic that was dodged. The evasion mechanic used one random draw to check this. You got an unfavorable draw.
RP attacks second with basic and scored a crit. This required 3-4 draws: evasion, deflection(?), crit chance, TM gain chance. All draws were in your favor.
Poe attacks taunting GK, crits & debuffs. 3-4 more draws: evasion, deflection (?), crit chance, debuff chance. All were in your favor.
I assume you were changing things around in order to try to get a different result from the opening dodge. Since there were no RNG draws prior to this attack, you are pretty much stuck with it. The only way you might be able to fix it is to bring in a character that triggers multiple draws before the match even starts (TFP seems to do this, why I don't know), or maybe bring in another character with more TM than RT so RT goes second and can inflict that Expose of his (Han Solo?), or maybe retreat and put an accuracy arrow on RT to improve your chance of landing that first attack.
There are RNG draws going on all the time in this game, and the sequence can quickly get very complicated. So we usually simplify it just by saying that moving your characters or changing your targets is the best way to affect your RNG results for the match. Most of the time, that is good enough ... but sometimes you just have to accept that opening dodge.