Different from conventional converters only converting one given mode to a single desired one, we here propose a multi-order conversion scheme for TE<sub>0</sub>/TE<sub>1</sub> dual-mode input by exploiting asymmetric multimode interference (AMMI) and beam shaping, where an inverse-tapered subwavelength gratings array (ITSWGA) is sandwiched between two AMMI waveguides, followed by asymmetric tapers, respectively. For input TE<sub>0</sub>/TE<sub>1</sub> mode, it is divided into two modal components by the ITSWGA and then excites <i>p</i>-th and <i>q</i>-th (<i>p</i> ≠ <i>q, p</i> = 1, 2 & <i>q</i> = 2, 3) modes in two AMMI waveguides via self-imaging effect, where followed tapers can further amend the phase differences of modal components for target modes via beam shaping. Thus, <i>p</i>-th and <i>q</i>-th modes can be obtained in dual-output channels simultaneously, for both input TE<sub>0</sub> and TE<sub>1</sub> modes. Results show that the bandwidth can be enlarged to 90 nm (the worst-case: <i>p</i> = 2 & <i>q</i> = 3) for crosstalk < −10 dB and conversion efficiency >80%, in an ultracompact length of only 8.7 μm, for the dual-mode input. Significantly, the dual-output channels can be flexibly combined into a single-output channel by tapers to form an MZI-like structure, which can convert TE<sub>0</sub> to TE<sub>0+</sub><i><sub>i</sub></i> mode and TE<sub>1</sub> to TE<sub>1+</sub><i><sub>i</sub></i> mode (<i>i</i> = 2, 4 and 6) simultaneously, realizing dual-order conversions in a single structure, and results of the best-case (<i>i</i> = 2) are conversion efficiency = 97.1% (98%), insertion loss = 0.32 dB (0.53 dB), and crosstalk = −16.89 dB (−19.72 dB) @ 1.55 μm for TE<sub>0</sub>-to-TE<sub>2</sub> (TE<sub>1</sub>-to-TE<sub>3</sub>) conversion, within a length of 12.23 μm.