Hello Qiyou, You better say: ( How to accurately understand the following :"..." ) " The scientists had to accommodate the new results with the existing theories ." In this context ' to accommodate' means to modify or adjust the new results in order for them to fit agreeably with the existing theories. The change in the results should meet an adequate standard that is similar, consistent and conforms to the existing theories.

depands on your understanding

to fit in to align with something He had to compare his results with other theories. To cross-check them. Maybe he even changed them a little in order to comply with common views.