AAR and LoE are both OG-based reading programs, but if you have an OG-certified interventionist, that's even easier. (And no-cost, to boot!)
Verbal cognition would be what the WISC-V VCI assesses, with some overlap with the CELF-5 measures. So it appears that she is testing in the high average range in verbal cognition, which is strong, though not as strong as her narrative verbal memory. One of the confounds, though, depending on where her reading stands in comparison to age and ability peers, is that most learners with high verbal cognition also have high reading skills (obviously not all, or we wouldn't be having discussions about dyslexia!), which affects verbal knowledge skills, especially vocabulary. It's not possible to measure pure verbal reasoning ability without including some acquired/achievement skills. You may find that, if her reading is sufficiently remediated in the next couple of years, that her assessed verbal reasoning/cognition goes up as she develops better access to text and the verbal knowledge that it contains. Also, her personal weaknesses in rote and working memory for information that is not contextualized may be affecting her listening comprehension, which also affects verbal knowledge and vocabulary.
I would suggest that, as you are trying to increase the context for her instruction, that you start with personally-relevant application scenarios and big picture previews of new concepts, skills, and knowledge. She may also do well with literature-based curricula or videos as the backdrop for specific history and science content, as it will help give her a narrative context. (My kids loved the animated Liberty's Kids originally aired on PBS, for example, and others have enjoyed Drive through History, or the many animated Magic School Bus vids.) (And of course, you will have to do many as read-alouds, at this point.) You may also find that pre-reading/-listening strategies that activate comprehension may be helpful, such as KWL (know/want-to-know/learned) charts. Search "active reading strategies", and you should find a number of techniques of this kind employed by experienced teachers.
