A non-Jewish women converted via an Orthodox conversion in order to marry a Jew. At the time of conversion she claimed to accept the mitzvot but did not intend and never kept proper halachot including Kashrut, Shabbos and Taras HaMishpocha- are the children of such a marriage Jews according to Orthodox law?
If she truly did not intend to observe the torah, her conversion is invalid. It is a well established Halacha that "Kabalat Ol Mitzvos" (acceptance of the yoke of Mitzvos) is integral to conversion.
"כל הגויים כולם, כשיתגיירו ויקבלו עליהן כל המצוות שבתורה... - הרי הן כישראל לכל דבר" (רמב"ם איסורי ביאה, פרק י"ב, הל י"ז)