Maren,
I suspect that you are running into the period when the government got very firm on forcing families to have a fixed family surname and when women started using their husband's surname. So I did some searching with Pedersen as a surname. I did not find families that I could clearly identify as Maren Sørine's parents. But I did find some that might be them in different locations.
I did find several Niels Christian Pedersen's born in Randers Amt, including a couple born in or very near Ødum Sogn in the 1840's (the right time frame), but all or most are foster children or adopted children of poverty, probably orphans.
https://www.danishfamilysearch.com/cid7365130
https://www.danishfamilysearch.com/cid7340386
https://www.danishfamilysearch.com/cid5283258
https://www.danishfamilysearch.com/cid5422226
One born elsewhere was living with his parents in Ødum Sogn in 1850
https://www.danishfamilysearch.com/cid7338329
I also think there is a good chance that this family moved on following the railroad in times of industrialization. We know that Maren Sørine was in Vjele in 1899 which is two amts away from Randers. The af Taastrup Mark i Ødum Sogn for her parents in her marriage record may have come from her birth record which generally had to be presented on marriage. It might not have been where her parents were living at the time of her marriage. Since it was her mother who gave the consent, her father might not have even been alive at the time of her marriage.
I checked the regular family search instead of DanishFamilySearch hoping to find the 1890 census there because you can search on first names only and relationships there. I wanted to search for a Katrine with a daughter Sørine Nielsen or Pedersen throughout Denmark, but they only have the 1911 and 1916 censuses. The search form at DanishFamilySearch does not allow for searching for couples or parents with their children.
Have you searched the confirmation records for around 1894 in both Ødum Sogn and Vjele Sogn for Sørine's confirmation record? She would have had to be confirmed before she could leave home in search of a job. That would give some clue as to whether her mother went with her to Vjele.
If her father died and her mother remarried, that would make finding Sørine's mother particularly difficult as during the late 1880's to early 1900's, women often took their husband's names and that is what would appear in the census.
Have you looked through the death records in Ødum Sogn from 1899 to about 1935 looking for Sørine's mother's deaths? Her mother was born about 1850 to 1851 based on her age in the baptism records of her children. And she was alive in 1899 to give consent. So that would be the time frame for her. I would start around 1880 looking for her father's death.
Have you searched the churchbooks of the other sogne in Galten Herred for the period between about 1865 and 1880 for Sørine's parent's marriage?
Also, have you searched the index volumes and the volumes for persons entering and leaving the parish for Ødum Sogn for the period between 1865 and 1880 or after 1881? I can't remember the Danish words right now but I think the letters start with J and T.
Also, check the Danish emigration database for Sørine's parents. There is a chance the parents might have immigrated without Sørine after she left home for a job or marriage.
Good luck. And keep us posted on what you find.