Welcome back to Just Answer and thanks for your question. I haven't been able to find out much about your couple. They were married in Russia and came to this country in 1890 so the two oldest children were born in Russia.
1900 CENSUS - Manhattan, NY, NY
Jacob RUBIN b Jan 1862 Russia Russia Russia
Yetta b May 1861 Russia Russia Russia
Jennie b May 1884 Russia Russia Russia
Abraham b Oct 1885 Russia Russia Russia
Hymen b May 1891 NY Russia Russia
Gussie b Jun 1893 NY Russia Russia
1910 CENSUS - New York, New York, Manhattan Ward 17 Enumeration District 0903
Jacob RUBIN 46 M Russia Russia Russia
Etta 47 F Russia Russia Russia
Abraham 23 M NY Russia Russia (We know he can't have been b in NY).
Herman 19M NY Russia Russia
Augusta 17 F NY Russia Russia
I did find them in the 1900 Census where their year of immigration is given as 1886 instead of 1887. That census also provides the month and year of birth and shows a son Isaac (written Isic) that must have died before the 1910 census. It also shows that Bertha/Bessie had two other children who died before 1900. I know the 1910 census says 7 children with 7 living, but since English wasn't their first language, I'm not surprised at the discrepancy.
1900 CENSUS - New York, New York, Manhattan District 759, Enumeration District 29, 1522 1st Avenue
Place of birth (POB)
1910 CENSUS - New York, New York, Manhattan Ward 12 Enumeration District 0461
East 108th Street
I just noticed your comment about Ellis Island. That would not apply to them. President Harrison didn't designate Ellis Island as an immigration station until 1890 and the first immigrants weren't processed through it until 1892. Their year of immigration was either 1886 or 1887.
I think you can rely on what each family told the census taker in the 1900 census (i.e. that the Rubins came from Russia in 1890, and the Guners from Austria in 1886 or 1887). There are literally hundreds of ships' manifests from 1885-1890 and you would need to look at every one of them since you don't know the port of departure or entry. They may have traveled overland and left from any number of ports and may have arrived in New York, Philadelphia, Baltimore, New Orleans, etc.
There is a book of passengers from Russia that you may want to check at your local library with a large genealogy department. Even then you may have to get them to order it for you through interlibrary loan. The title is:
Glazier, Ira A., Migration form the Russian Empire: Lists of Passengers arriving at U. S. Ports.Baltimore: Genealogical Publishing Company. Volume 5 covers June 1889-July 1890 but there are a number of volumes.
You may also want to consider alternate names. For instance, Szeine for "Jennie."