Complex sentence: Both the Cowboys and Vikings shared a common recent history of eliminating the LA Rams from the playoffs throughout the 1970s, consigning the Rams to being labeled, "next year's champions" for nearly a decade.
Split into simpler sentences: Both the Cowboys and Viking shared a common recent history of eliminating the LA Rams from the playoffs throughout the 1970s. Consigning the Rams to being labeled, "next years champions" for nearly a decade.