Raising pets can not only reduce loneliness of senior citizens but also cultivate the loving heart of kids.
（= Raising pets not only can reduce loneliness of senior citizens , but also can cultivate the loving heart of kids.)
这属于集约调整，不属于强调倒装。
‘Not only’ 置于句首，引起强调倒装:
Not only can raising pets reduce loneliness of senior citizens, but also（it can）cnltivate the loving heart of kids.
