The Soviets did fund anti-war movements. If they specifically funded hippie movements, it is harder to say.
The former KGB officer Sergei Tretyakov said that the Soviet Peace Committee funded and organized demonstrations in Europe against US bases. According to Time magazine, a US State Department official estimated that the KGB may have spent $600 million on the peace offensive up to 1983, channeling funds through national Communist parties or the World Peace Council "to a host of new antiwar organizations that would, in many cases, reject the financial help if they knew the source."
It is hard to determine the timeline and the groups that ultimately received this funding, additionally, 1983 is very late for anything "hippie" related. However, it supports that there was funding deliberatly sent to organizations that may not necessarily support Soviet views.
alleged that "the GRU and the KGB helped to fund just about every antiwar movement and organization in America and abroad." According to Lunev, the Soviet Union allegedly spent more money on funding of U.S. anti-war movements during the Vietnam War than on funding and arming the Viet Cong forces.
Please note, this is a claim made by Stanislav Lunev who defected to the US and wrote a book. I would be skeptical of the veracity of these claims.
elaborate peace programs have been a staple of Soviet foreign policy since Lenin. The current Soviet peace committee apparatus was established in 1950 and the committee has served as a conduit for Soviet influence in the World Peace Council in Helsinki, a faithful supporter of Soviet positions.
While this is not direct evidence of any specific groups being funded, it further supports that at the time the Soviets viewed peace programs in other countries as a means to benefit their goals.
Thus, Soviet Delegate Suslov spoke with supreme authority when
he specified the duties of the various Communist Parties in connection
with the "peace" campaign. He declared at the 1949 Cominform
Particular attention should be devoted to drawing into the peace movement
trade-unions, women's, youth, cooperative, sport, cultural, education, religious,
and other organizations, and also scientists, writers, journalists, cultural workers,
parliamentary, and other political and public leaders. * * *
Suslov outlined specific tactics to be employed. He demanded that
the Communist and Workers Parties direct peace campaigns within
*WZ mass public associations." In other words, non-Communist
organizations were to be subverted to serve Communist ends. Suslov
told the Communists to spread the Soviet peace propaganda by way
of "mass demonstrations, meetings, rallies, drawing up of petitions and
protests, questionnau-es, formation of peace committees in towns and
in the countryside." He said, "It is necessary to proceed from the
concrete conditions in each country, skillfully combining various
forms and methods of the movement with the general tasks." We
shall describe how assiduously these directives were followed in the
United States in a later section of this report.
Suslov claimed that the Soviet-inspired "peace" movement by
November 1949 had won over "hundreds of millions" of people. He
referred to these persons as "partisans of peace."
The above is a report that details a lot of the "peace offensive" employed by the Soviets.
I haven't read this link yet, but it is provided in the comments by Italian Philosophers 4 Monica.
I hate using wikipedia as sources. I am still looking for more sources on this, but evidence does suggest that the Soviet's did value anti-war movements as more or less beneficial to their communist ambitions.
My understanding of the situation is that, at the time, the USSR would fund any organization it deemed as beneficial to it. The benefit is not in creating support for itself, but in creating problems for its adversaries.
The funding of the hippie movement plays directly to benefit the USSR at the time. Given the USSR was supporting the People's Army of Vietnam and the National Front for the Liberation of South Vietnam, they had a vested interest in the US losing this war or backing out support for Army of the Republic of Vietnam.
Most of the sourcing doesn't really look at the hippie movement as it does the broader anti-war movement.