Aldi is not owned by Kroger.
Aldi and Kroger are entirely different companies with different owners.
Aldi is a German company that is owned by the Albrecht family.
And Kroger is an American company owned by it's parent company.
Aldi did express interest in purchasing of some of Kroger's stores during the proposed Kroger and Albertsons merger, although the deal did not go through or happen.
Kroger is an American grocery company that was founded in 1883.
Kroger is also publicly traded as a company, with it's current ownership being by it's parent company.
Aldi is a German grocery chain that was founded in 1948.
And Aldi is owned by the Albrecht family, specially two separate companies, Aldi Nord "North" and Aldi Sud "South, which operate independently.
Aldi Nord also owns the Trader Joe's chain in the United States.