Many Communist and radical publications and entities throughout the 19th and 20th centuries had the name "Forward!" or its foreign cognates. Wikipedia has an entire section called "Forward (generic name of socialist publications)."
"The name Forward carries a special meaning in socialist political terminology. It has been frequently used as a name for socialist, communist and other left-wing newspapers and publications," the online encyclopedia explains.
The slogan "Forward!" reflected the conviction of European Marxists and radicals that their movements reflected the march of history, which would move forward past capitalism and into socialism and communism.
There have been at least two radical-left publications named "Vorwaerts" (the German word for "Forward"). One was the daily newspaper of the Social Democratic Party of Germany whose writers included Friedrich Engels and Leon Trotsky. It still publishes as the organ of Germany's SDP, though that party has changed considerably since World War II. Another was the 1844 biweekly reader of the Communist League. Karl Marx, Engels and Mikhail Bakunin are among the names associated with that publication.
Vladimir Lenin founded the publication "Vpered" (the Russian word for "forward") in 1905. Soviet propaganda film-maker Dziga Vertov made a documentary whose title is sometimes translated as "Forward, Soviet" (though also and more literally as "Stride, Soviet").