Hi Erica,
PES format does not save Trim codes. Your Brother and Babylock machines basically look at the length of the jump stitch. If it is too short, no trim. If it is long enough, it trims. Many machines no longer use the trim codes but use the length of the jumps instead.
Peggy in Ohio
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I know this doesn't solve the problem of the trim code, but, I have found that if I make each letter a different color in Editor, then the machine stops at the end of each one . I don't change the thread color at each stop, but, it does set the stitch and trims the thread.
Pat in NC